{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Resonances of Jupiter's moons, Io, Europa, and Ganymede\n",
    "\n",
    "Example provided by Deborah Lokhorst. In this example, the four Galilean moons of Jupiter are downloaded from HORIZONS and their orbits are integrated forwards in time. This is a well-known example of a 1:2:4 resonance (also called Laplace resonance) in orbiting bodies. We calculate the resonant arguments see them oscillate with time. We also perform a Fast Fourier Transform (FFT) on the x-position of Io, to look for the period of oscillations caused by the 2:1 resonance between Io and Europa."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us first import REBOUND, numpy and matplotlib. We then download the current coordinates for Jupiter and its moons from the NASA HORIZONS database. We work in units of AU, days and solar masses."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Searching NASA Horizons for 'Jupiter'... \n",
      "Found: Jupiter Barycenter (5) (chosen from query 'Jupiter')\n",
      "Searching NASA Horizons for 'Io'... \n",
      "Found: Io (501) (chosen from query 'Io')\n",
      "Searching NASA Horizons for 'Europa'... \n",
      "Found: Europa (502) (chosen from query 'Europa')\n",
      "Searching NASA Horizons for 'Ganymede'... \n",
      "Found: Ganymede (503) \n",
      "Searching NASA Horizons for 'Callisto'... \n",
      "Found: Callisto (504) \n"
     ]
    }
   ],
   "source": [
    "import rebound\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "sim = rebound.Simulation()\n",
    "sim.units = ('AU', 'days', 'Msun')\n",
    "\n",
    "# We can add Jupiter and four of its moons by name, since REBOUND is linked to the HORIZONS database.\n",
    "labels = [\"Jupiter\", \"Io\", \"Europa\",\"Ganymede\",\"Callisto\"]\n",
    "sim.add(labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now calculate the mean motions and periods of the inner three moons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_i (in rad/days) =  3.547,  1.768,  0.879\n",
      "P_i (in days)     =  1.771,  3.553,  7.149\n"
     ]
    }
   ],
   "source": [
    "os = sim.orbits()\n",
    "print(\"n_i (in rad/days) = %6.3f, %6.3f, %6.3f\" % (os[0].n,os[1].n,os[2].n))\n",
    "print(\"P_i (in days)     = %6.3f, %6.3f, %6.3f\" % (os[0].P,os[1].P,os[2].P))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "We can see that the mean motions of each moon are twice that of the moon inner to it and the periods of each moon are half that of the moon inner to it. This means we are close to a 4:2:1 resonance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's move to the center of mass (COM) frame and plot the orbits of the four moons around Jupiter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim.move_to_com()\n",
    "op = rebound.OrbitPlot(sim, unitlabel=\"[AU]\", color=True, periastron=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that REBOUND automatically plots Jupiter as the central body in this frame, complete with a star symbol (not completely representative of this case, but it'll do).\n",
    "\n",
    "We can now start integrating the system forward in time. This example uses the symplectic Wisdom-Holman type `whfast` integrator since no close encounters are expected. The timestep is set to 5% of one of Io's orbits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim.integrator = \"whfast\"\n",
    "sim.dt = 0.05 * os[0].P  # 5% of Io's period\n",
    "Nout = 100000            # number of points to display\n",
    "tmax = 80*365.25         # let the simulation run for 80 years\n",
    "Nmoons = 4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similar to as was done in the Fourier analysis & resonances example, we set up several arrays to hold values as the simulation runs.  This includes the positions of the moons, eccentricities, mean longitudes, and longitude of pericenters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.zeros((Nmoons,Nout))\n",
    "ecc = np.zeros((Nmoons,Nout))\n",
    "longitude = np.zeros((Nmoons,Nout))\n",
    "varpi = np.zeros((Nmoons,Nout))\n",
    "\n",
    "times = np.linspace(0.,tmax,Nout)\n",
    "ps = sim.particles\n",
    "\n",
    "for i,time in enumerate(times):\n",
    "    sim.integrate(time)\n",
    "    # note we use integrate() with the default exact_finish_time=1, which changes the timestep near \n",
    "    # the outputs to match the output times we want.  This is what we want for a Fourier spectrum, \n",
    "    # but technically breaks WHFast's symplectic nature.  Not a big deal here.\n",
    "    os = sim.orbits()\n",
    "    for j in range(Nmoons):\n",
    "        x[j][i] = ps[j+1].x \n",
    "        ecc[j][i] = os[j].e\n",
    "        longitude[j][i] = os[j].l\n",
    "        varpi[j][i] = os[j].Omega + os[j].omega"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we plot the eccentricities as a function of time, one can see that they oscillate significantly for the three inner moons, which are in resonance with each other.  Contrasting with these large oscillations, is the smaller oscillation of the outer Galilean moon, Callisto, which is shown for comparison. The three inner moons are in resonance, 1:2:4, but Callisto is not quite in resonance with them, though it is expected to migrate into resonance with them eventually.\n",
    "\n",
    "Also visible is the gradual change in eccentricity as a function of time: Callisto's mean eccentricity is decreasing and Ganymede's mean eccentricity is increasing.  This is a secular change due to the interactions with the inner moons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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np+ONN97AuHHjcOaZMUXSt99+G5MmTcK///Uv3HWldyF88Pbr8o8bP348GjVqhP/973+49NJLcdxxx+HOO+/M3/fmm2/GDz/8gE++noRe3Tr5zyvjIFCmHP//LmksHg8MNmjBcyxQZ/fJ1cB9W6M9JxVBLYKw9WEOh8ORKPauU++TaGhZmm3NPaNxb7vjaI22bXQ+WE5Ho8g52X7F/IKgYq1oxqHnratnQCmdandcYWfbEqB2SJHjdVOAjkPDjTHnNeCE/ws3RkGzj9PZA4i9H61OK7jzOMBZH678EmgWsoPCzhX+LCFHKFyE3+GRE4vQn3LKKVi6dKnv7/rrr5ceE6Rnz5752+vWrUNmZib69/dan5QtWxa9evXCquVLfcf17Xl8vuOhZs2aaNu2LVatiqnnZ2dn45FHHkHnzp1Rs2ZNVK5cGT/88AM2beVE58O01mMUBi9pFMx5NdzxQceQDdkKHYcg398V/jUdDoejIFjzXbLPwE/pkAZ/b8H1XoVPlC2gbN/uHLsxu1/lbR/ZbzdGGNqdHc04pUkAYvpT5sfbiv5RMWH6XhYWFr4bfozF48OPEUWZRRTfTxNBQaqPVKqst71xlv4YphmgPHjz3/y3wo/70V/Dj+HIJ+kR/tdeew3PPPMMduzYgS5duuCVV15Br15itctPP/0UDzzwADZs2IDWrVvjqaeewllneSnIEyZMwNixY7Fo0SLs27cPS5YsQdeuXblj5ebm4qyzzsLEiRPxv//9D0OHDo34v8ujbMVYpD0ZlK2ov++hnQCASpUqoVWrVvFPH4pNRLnEEM4MCvLlPVepkiCrIAhP0C0rwy/2k8czzzyDl156CS+++CI6d+6MSpUq4bbbbsOxTM4YuSHbxQAxb7rLEjCHV9e38gug88X6Y6yzKCNwOByOZNO4N7B5Xmw7JwcoVQTjKkzTploT4IBBnTYV+6pc1/9cuap259LhfGDu67Ft23a5zU8G1k9X78eDGlJhoN+DoMCvCBp06H19TD2dlcsd3gdU1Gh/RvWJeozwl1ZkHgHKVtA7l0SxaXZyXz9Kdq8GmvQJN8af64H6nfX2pS03r/oSGJdnC815DThttN4YNgLVQUw1T3TJMRRP5ZGdCZQ2+A1vnA18eDkw/GugQZfwr1+ISOqV6OOPP8aoUaPw4IMPYvHixejSpQsGDx6MXbv4AmqzZ8/GFVdcgZEjR2LJkiUYOnQohg4d6hN2S09Px4ABA/DUU2oP6osvvoiUguivmpISS6tPxp/o/+NdOBUXoTp16gAAtm/3JoilKwKCeRyRjZYtWyI1NRWzZnlex8zMTCxYsAAd2rTw7Tt30a/5dTt//vknfvvtN7Rv3x4AMGvWLJx//vm48sor0aVLF7Ro0QK//RaBd1KEyeLCVKCkOLOU09GB9UYNg03Gxef/F+sUEEUUweFwFE4yDsZ+55M5vewLmm7DvO19hSDVXxfaU5053E2MfcCvBRSsvbcVW0spxd/WgRnrXUk5oul1pEzee5ESopTglH/aHUe1iGq1BE4mYnO6TgMqLpeb64/yR9Emz+Ex6yX9fUXfw0UG2QpzX/O2azb3trMMRI7XCrpnmAgKFuZ5zlTP690zgYwDwJsnJeZ8kkhSDf7nn38e1157LUaMGIEOHTpg7NixqFixIt555x3u/i+99BKGDBmCu+66C+3bt8cjjzyC7t2749VXvZTlYcOGYfTo0Rg0SN6/denSpXjuueeEr1XskfwIMjIysGPHDt/fnj17UKFCBfTp0ydfjG/61Cm4/+nX/QcfjK/lqVSpEm644QbcddddmDhxIlauXIlrr70Whw8fxsjLh/r2ffjFtzF50o9Yvnw5hg8fjtq1a+dnXrRu3RqTJk3C7NmzsWrVKvztb3/Dzp07w74TYkwmvOKstmrKtMfjH5v9cvhxMw1bLR1NA379NLb9zW3hX9/hcBROnsir8/z52egU0HltUnVocLy3fXifeD8R9Y9X75MI6JqgnmaEMQjNKIyq1r5hN2/btAtN+3PzzoUks+ZoZP/RwAXLTKt6nNlrU8rEZyxqQdsLli4HNOjq3ddNH6cR9IZdgR7Dvfs2GROV65kfU1IwKe2hc0Od9t62raBjFUvNjNmveNvdr/a2TddbyeagQHg7qlbVxYCkGfzHjh3DokWLfIZ5qVKlMGjQIMyZM4d7zJw5c+IM+cGDBwv3F3H48GH85S9/wWuvvYb69eubn3xxQFB7DwATJ05EgwYNfH8DBsTEN9555x1kZWWhR48euO3WW/Do3QElXoEj4cknn8RFF12EYcOGoXv37li7di1++OEH1KjuT/N78t6bceuDz6JHjx7YsWMHvv76a6SmpgIA7r//fnTv3h2DBw/GwIEDUb9+/WjKMETvxSEDZ8KRveHPozAg8joXhgyGnSvM9n8hIORo2lvb4XAUPV7upt6HItIXse3cQg2iZZqtu+i822Ig0O1K/nNGGGYv0jKqBpZOB552DnMCVKpjNyZNx2UOXF2Y04GW5umkCdMa6BrNYren3Gf22tSxkGpQWklZTQzIeh2ACtW9+7qdIajoYKnS/g4OuqVz9H8JlmYUpNYRFYm21YQw1RNKFHTdeT7RWdq9ym68KLKVzyAZUiv+F348XaJov0c7Q9G2pJvmFex5FGKSZvDv2bMH2dnZqFfP7y2sV68eduzgX2h37NhhtL+I22+/Hf369cP555+vfUxGRgbS0tJ8f0UaQf/UcePGITc3N+5v9erVAID27dtj9uzZOHz4MJZMfA+nn9QHuVsXY2C/mEjfwH49kZubi+rVq/vGLV++PF5++WXs3r0bR48excyZM3HCCSfEvf6AXt2wfMqnyMjIwLx583D88d7Co2bNmvjiiy9w8OBB7Ny5E4888gjGjxuHL955PrZDuSp27wW9YJXV1B4IQj34/W/1tm1FXGhEQlfEhXqM+95k97oiJ4du+mAioelrOmQc8N9fPyO6c3E4HIUDnYitjGBXEsafG+3Gq0KCCDs1u4tQlf/uV/lbuNk6Ks941Gz/Pzd42+z6UzrVbIw138Y/lpmXKRHFNcRUebxWnvp7tcbeYyJlcwoVqmXvQTq/1FQIDX5UsezSREskqjfxr3FWf6M3BtVVAGKlAQzdjIltS7zt/rf4I8GS4JEPus5qaakgv5O0YG52ot0Y1JF35jN2Y0QR/aaaErZr16hJJedh26rbBrruPOtZuzGoNkWni7zt377XH6Mg/+ckUATVZMLx1VdfYcqUKXjxxReNjnviiSdQrVq1/L/GjRurDyrMFJf2LjQlzTaCQNPxq1hmfNCaqRakZ/zWhXbjUZVk3ShR+h5vu3Ybu9cV9Uo+XAgyGMJ6nG2UkQFg3dTo0oQdDoef3Fzg69uAtwbaGe9h+3jPIWVpFxOtjymGBjOPzXP19qPX4zLl/FHtrYvsXttU8Iruz6KFdOFcGFjNcSgEoc4TVrtfj2R7zXhaPQZ1uLPsACrepxPVXvuTt91KXmIqRPYZitotm6ArpEiz65r0A9oM9u7rdvGhAs226yxfx4Fh4v1kzHzB27Zt+WaipC+Cpv/brteihgpLbltacK9LHYW14gXDtcggQVjbNo+7V3vbtsG/QkzSDP7atWujdOnScTXYO3fuFKbZ169f32h/HlOmTMG6detQvXp1lClTBmXKxCb2iy66CAMHDhQed++99+LAgQP5f5s3b9Z+TUcCoaIzpoI+DFr7E7Z/MeD3POumE9EoTuM+wIl3ePdFtUlB6ALDtictVfQ9l9Tdf31r/L6Jgi76aW1bWDYbpHYxpj8NvDc0liZsW9PrcDjETH4YWPRuLIr4sIbqeBBag2oDNQA7kKw/G2dtamW7c6DCWWUr+ev4dSO5QUzrxqs3iX+sJokGF4ayLh1FcbomYNF5qidwUKNU7/cfyRh5hj7TAwD0si7o9cZEJZySKRFfo1F3Wzb8rLcfTf2v2cK/1lrwb70x6Ppk8GN6xwSZTVLfS1t2UDpKDMM2g/0lD7rQ7+EFb9qdB/38CkI83JRtiwvutajTtrmlWN4f08KfB814OdMyQFSISZrBn5qaih49emDy5Mn5j+Xk5GDy5Mno27cv95i+ffv69geASZMmCffncc8992DZsmW+HvMA8MILL+Ddd8VK3uXKlUPVqlV9f47oGNivJ3K3Lkb1aoapTdSrl1rZro1eLkedOAy0B7JONAHwpzTVaOpvlbNonN4YM0h6WvlqescEoVH0lqd627aiQzbsIjVspimcUTOVLEwetxTFGVMt9vd0S/W+DkdJY+bz4Y5f+n405wHYCc1R48+2xRlNi65UC6hOMghtW8PSCPAhjXT0JZz3sSXJVisqWU6+lrx5kXhqUDXrrx6Dl+lWqba3vfPX+OeD0AiurUG34F92x0XNyi+87VKl/EENXcFiGjSwbXW4h3RlshWF/PUT/xi0fEbXqUVFiJv2szsPWkJTnKjd1tverdlFi2bMRCX2aQPV7kj22jMBJDWlf9SoUXj77bcxfvx4rFq1CjfccAPS09MxYsQIAMBVV12Fe+/1xBduvfVWTJw4Ec899xxWr16NMWPGYOHChbjpJq9eed++fVi6dClWrozVzq1ZswZLly7Nr/OvX78+OnXq5PsDgCZNmqB5c9LWoiRBRVwK0otPf+S2PXppqnlKij86bCMmY5slEBaaSnTSXX4DW7f28UhAEfq4Ht627ntxmJQF0EVnQfbKPUpq70/4P7sxCkvXBCpidXhP4REMcjiiYt8fwLhz7BTpeUQhAhZF9FMXWkplyx+SHvGrvjYba8iTsdu2Z3uPrZuqPo4n4Fannbdta/Cf96p6Hx6nW7ZYpFl6vLR3nSwBXqYf1TPYqhH9tHW6+yhAQTwTypFMFt1r7dH93naZ8kDHC81flzpzUlL8WgK28wYtx9TNAqRBiWpFvLw3LMH3vctl3rau7gV1wgBA497hzikKbLseFGKSavBfdtllePbZZzF69Gh07doVS5cuxcSJE/OF+TZt2uTr+d6vXz98+OGHeOutt9ClSxd89tln+OKLL/KNdiBWo9+tWzecfXbsYnf55ZejW7duGDvWsJ1LSYIqv2amC3eLHDp5l48oY6J6U2+7KOkU/E7S3SrVjibFq3Efb5vWNSYLXWfSlzd627Z1ihvNOndwMe3fyuO/V/jvf3hJ+DEdjsJCbm6s3GXDz8DTETnMf/sh/BgbZqn3iQyy4L3Yss3veonBv0czSsbYn1duSI0yW4ctTUU31QRgHLAsf/xTQ1yPB00P5omh8TIZgvDWDjTyqCPaVpBOp2Sy9APzY0qXAVqc7N23vdZWqOFt2zr5+5L1RlVNcUUqHpiS4olDJgvq3CtoaHbSWc8C3Yd793XT7AtLgIZSGMssQpJ00b6bbroJGzduzFdl793b8+xMmzYN48aN8+1/ySWXYM2aNcjIyMDy5ctx1lln+Z4fPnw4V2V+zJgxwnPIzc2Npr1bUaUc8USnaXi/edDIuK6nlf7Iy1YEKljUbwahkfHMIlRzTRdkZS1b+AQ56U5v+yCnXVKiadwHGPyEd3+vprgWjQTYZn6s/JL/uEnblU0ROA22L/Xf122DRMnNBR6uDbxWCLzeDgfl9UA5nWmUjSe4F0U20Y//DD+GLlFkqkVJaY7Cvk4WAu/caeq1bVmXbQbELsv2ZGE1HQC/aC4PW5G1wiLOVhhIIQ4UqplgQhfiUN88324MWqphO0atJJfrMeO0Ua+Cf22akZlSyl+CRANwJtC2ege22I3hiCPpBr+jEEA9WdmWnlZfWYBEaIZCFfbLVvSn0dm2PaH/SxRKqgXF9l+8bduazSC+91PzMwkLrWftcjlwXHfv/npNgSCfI8hykSnqbJBl8L36D6dtZzLqWD+5KhZd270a+O7ugn99h0NEsGe0qZOMpwQ96yXr00kKtFabpsAnC9YCjl4L07aqj6Nidwyq2q0TGedRr4PdcTZiakA0mVm0RpvHRssMElu1/ihISWJtNA/aAWKhZWYMVWOngQITaOr2l3+3G6Ou5Xc8Kth3vttfvcdMO56onFwiaIlM037+zKKvLNtD0/fzt4l2YzjicAZ/SSRoaEeRukJTr49plgXQeuaUFH9pQa5BJJZCUxAPR1BbaUqbs9T7FBTU4LdRqLeBRuyaDQAq1/XuRymuZUJ/IhYUtoXXxHvV+0TNqq+87fmWisAOR0Hw7plm+09+KNzrRVHvHxba55w5KBt2K9hzoIt7Xis9rfRyxXtJ5yEVx5M6Xir+avJ50XnbhIJIxVU5BEREpXNhw6kFmPWiAxW43GLZvphmltq27aXnYbvu7EG0BPZvshuDai7paP3Q3xJzqlHdCJ2gGR2DlkeYsH6Gtx2Vw5OWCcy1LMe2bdNdjHEGf0mE/phsFTFpJLdK/cBEo5lKH0z1o21WovDS20IjCzmGImtlUtX7FBSppDTAZLEWhh3LvO2crFgLHwbNAjGBfrdsFvgDbve2wzo+CoO32Qn/OYoLtvXdjMJQ+8nLaijo+m0qyhdVhlgYdq/xtmnJoMqgojovtiV+XS7nP86uP/U7240bBSeTDC2T8rIoWP2tep+CxJeNmSbeT3eMZF6byxCnga36PhUoPqTRipmus1l0njoaqSEugpYw1Ouo3p/Hii+87aicbVRLYe9auzEKW0ZLIcAZ/CURGg2o2shujGM0XT7F72mlyvnyE/HfpXPF/o1252XJuI+/QvX2ef0/qdCPjn1J0+U7XBDpeUWGbplFWOjkXDNQ16bb8zdIjxHeNi/tVEVZkn0yrwDFO9N1fwcSeEKHv30fflyHg2HrXE1mtJJBBcP6WqaPMqpoCnYVRg6QqGLpQuB0pgYcLQv4fZL8OKo1k2uYksyY9iT/cZbyvUOjpV6ioMGE7QXsFKIZf13+UrCvXdyhjqwj+82OZXX31Zt4jx3UMPhpZw+2ZqU18/PfUo9B1+rN89a/ZQxbi26x1D2QQR0H7QwFCZlY9XkkC8dm3VgMcQZ/SYR++TkR/h07duDWW29Fq1atUL58edSrVw/9+/fHG2+8gcOHOdH7SnWjaWfHa4WTDKg4kU7NN80CqHZc9OcTBbZpZqbQmtyosh2o0FG2hVI0/V4VZA2+6EJook/Bq238+Eq783E4goypBjxaF3itj3rfIKbt4hIBNd5oGrkuNGOILbiDjkobLnw7/Bgm7CCq4WEN/uN6hjse8M+zVPhPpfFADSfb9UAUYr3smtPnRvl+ptCSQx2jLkpoqUfTvuL9HOZUJToAXxuWorBMTJoBWbme+jiq+8Si2dRQ1lln0N8KmzdOGOk9VtAlU5Xrxz+2+hv1cVQ4kGWE0sDdzhXqMej/2rS/ev8iiDP4SyK+3vX+r8AfG7egW7du+PHHH/H4449jyZIlmDNnDu6++2588803+OmnvPZxh0h/zZSUYtLCIu9/oDVdWin9haCOlGKbCmkq8sIjEZkEx1/qbWtnjxBKJWmaExlE25fxH+cx8R/RnEva9phx99k10YznKPpQUdPdq8wXd1/fEu352LDsY2/bJlWbtl/rmffboCnxaZbdTQq6jzT9P8LOd9Uss/4o9bxWyT4RL5UxTtcj9Do85Knw52QCa4W46N1ox6XOD5PfG83EtO0P3uIUb3uVhhFVmOlciNvbHtHIfKLOnpanxW5pSv03t6nHOLTT207ldHaiRrDOebCSWrrGsgmwhEGnlIHHUZJR1D/vukTnEupoE0EDobrtGYsYzuAvidAfcSDC//f7nkCZMmWwcOFCXHrppWjfvj1atGiB888/H99++y3OPfdcAMDzr76Fzqddikqt+qFxkyb4+9//jkPp3sV83LhxqF69On744Qe0b98elStXxpAhQ7B9e0zRc8aMGSjbtBd27PLX8d82+hmceME1vjG++eYbtG3bFhUrVsTFF1+Mw4cPY/z48WjWrBlqdDgZtzzwNLJTvGhARsYx3PnwCziux2BUqlQJvXv3xrRp03yvM27cODRp0gQVK1bEBSPvwN4/4yfHL3+Yhu69+qN8+fJo0aIFHnroIWRlcRwAtI5UZ2KR0aBLuOMB+3o4uhhrayk+aGLM6kLfUyqQlUiiuNDRdOPL/+ttT344/NimPJ8nprP88wLuUe4otHwyzH9/5gvRjGtbV88WvoBdmYGN05m+TsU8R+lJd3mP2dbjFnRWERXNDYuopakJVICMokozpt8d2zpeqhkQliiyBeh7QbPeaIRWRWPLdmtUJ4mWSJQ1TNtmFLQYpYi67cOPUToCrQtbXSIqbN1mSOyWzl9rf1KPoeoUofOboQ4t5iis0dx7zFTDKlnQ7zYrm6GZobtWq8eguiv9CoEzOwE4g78AyM3NxeHMw0n5y+V5kQW1cXv37ceP0+fixhtvRKVK/AVESt6kVKpUCl5++C6smPoZxo8fjylTpuDuR/3tlA4fPoxnn30W7733HmbMmIFNmzbhzjtjveFPOukktGhyHN773BOSyczMxAf/+x7XXH6+b4yXX34ZH330ESZOnIhp06bhggsuwHfffYfvvv0W7730CN58/3N8NnFm/jE33f8U5ixaho9efwLLli3DJZdcgiFDhuD332MK7fPmzcPIkSNx0003YemSxTilX088+vK/fBPuz/MW46pbR+PWkZdj5cqVePPNNzFu3Dg89thj8W8KnbzZwqs7UW01Eeehi4CKtcX7ybCdpOlxva6N3Xa62HtMJ0UsQ8OrHIbNcxM7PoMaAuUjWEA2ISnTG2eK90sEh3b774+zdOa8NTCWJXBwp3JXLscOx47/9k674x3x5GTbp12um+K/H0Yxnxo1tjXSHc7ztm0j6x1IK02d94VG41gpV61W3mM6kR6W/kkNCLp4N9E6aGKZar1onN1xPKyFfMn1o4ag/3a5qvIxRC0ZTcqgmGjfgFH6xySSrYv4j5vUPlN9CppurHJM00zMVJJpQZ1aJtjO/ZQ2hp08GPT3bFtCSjVx+pA2dN3ynJ+mqdzVG9udhw/OPKVTVqP67HM0gha8LIDuV3nbG2erx4iSjhfaHUe/G2yOqUgyXXX0o37/0dsuphH+QlI0Xbw5knUEvT8s4BS/POb9ZR4qluWk+3BYu2EzcnNz0bZtW9/jtWvXxtGjsVTtG2+8EU899RRuu9br99msYTc8+uijuP66a/H6E17bsszMTIwdOxYtW8ZqIm+66SY8/LAX3Rx5xfl49+OvcNcNMeP466+/xtGMY7j03DN8Y7zxxhv5Y1x88cV47733sHPnTlSuUB4dahzDKf16YurshbhsBLBp0ya8+/FX2DT/OzSsXwdo2BJ33nknJk6ciHfffRePP/44XnrpJQwZMgR33303kHUUbUZegdkLf8HE6Z6C+0PPv4V7bhyOq68aBtRsjhYtWuCRRx7B3XffjQcffND/xvEWli1PARaPj23nZAGlLOoqy1XRby1IJ//jBSrFyjHIgo0tfk+5D1j+WWx78zygxUC7sW1of278Y39MMxuj3Tl2r00Vf09/2LwuL0hFyzKLKHi2lXofFXt+9zzgz7UBxlg4dh7PS0Vd8DbQdkhye1InmyN/Ak81i+mf3GXZKnL9DGB83m/kwf3JLas68Q7gozwhsF8/9QSgZND5pnpTf/u2ZR8DA+8xPw8qOLXjV6DB8fL9F7/nbTftF7ul0fJVXwP9bpaPwSJt2cRJSMuqTNpdVbM0IKKMxLGIoyk0Gi4qaVApgYvEtRr30m/rumFm/PnY0nRA+DEg+F2qrmX0mk6/Wz2Ge9fkLQu87y2PP9d729QApC2QVdD1TatTxfvpUoVTp60DfT9anW43Bv1OUAFFVr+uipoHiUIAkvd+6Pyeo+hQwjP4aTu7AwWg/USdedTZYAL93Hg6WlTjRMTcN7xt27LYQo6L8DuUzJ8/H0uXLkXHjh2RkRG78Pw0Yx5Ou/RvOK7HYFSpUgXDhg3D3j/34/AR78dbsWLFfEMdABo0aIBduzyP8/BLz8PaDZsxd1Fs0hw3bhwuPfd0VKpYQThGvXr10KxZM1SuXDl/UqxXu1b+uL/++iuys7PR5sShqNy6PypXrozKlStj+vTpWLduHQBg1apV6N07b0GSdy3r28O/MPxl5W94+MW3Ublxx/wxrr32Wmzfvj1euJA3OdNaPR1Pa/4/TKL6JpFlWsMpSqdUsZrUnDPlWJqauj9kCy1TdIRreFAvvm1fWNrCqLogWlWSeDWkkFdQH+J9Tq/wksRTzWK36buA8edJdxUynjjERMrkBUXD7t724v/oHUMjnJ0u9Bu7tiKjtHe7jigaNQBYZJv+3n+83+48yhLhV57wpgiqHzBojP5xog4FVIBWl97X++8zh0d7xfeUCu6J0qVVGi/0OkYxiejuyhPoCnZksWnTpXL26GBbbkHfK5+hSowRlbAhNehoi1z6XqiMVvqZUEHLwU/IjxNhKypJ54talsKaaVu9bZryvfDf+mNQBwjN5DSBliby1nkHtqjHYF0nwsD7vdEMn18/C/8aKuj62TZz47cf5M/v1HDM0MznZOk+JRgX4S8AKpSpgHl/Cdn/O8Rr69KqWWOkpKRgzZo1vsdbtIhdKCpUiI21YcMGnDP8Vtww7GI89o8bUbNtX8ycORMjR47EsWNZYPZ62bL+evaUlBRfiUHd2jVx7ukn4d1PvkLzXoPx/fffY9pn/ho/3hj5j+VNFCkpKcjJW2wcOnQIpUuXxqLvP0Dp0qV8EYXKlSsjDkFf4EOHj+ChO/6GC888NS4qUb58YBHFK5FofqK3vXwC0H1Y/D48ziTiRK1PB7YvjW3n5MgnIbpArkIM5bIV9SMdPqXnvKmB1vrV8Wd+JAQa4ek5UryfDHohtO2aQNtHNT85FlFYm/fY3nX2C46oOJYebd2uKVsWAo0MnABrvovmdXNyYou2SFIpLcnKiCnbA3aZDkHWT1fvEyRYkzj9SeCUe/n78hAJOqnmGRFVLYTEjpF5qU47f4bC0g+Aoa+bj1mjmbedraEDwHPWlibLItoqy5Y5rwKDOaVgPGgqKc2mys2VZ3DsWhW7DRoPTfsD6ybrvTYjqJ+wN0+DYNVX8uOoU6+2IKuI1snyqNWa3z+cXocO7QIq15WPw6Pd2er/Ici2JbFspDDQa7oJ9LtJAwg0Y1NVIrFG0MKVrll2rpALXtJIMs3KMvl+Uup10NsvyB6SCWXrNKDfP6oZklo50GpawsHt3rZtxqOqW4VuZmcioJ9jW4PyCyosWaqsfqCLZm7YamAVVBeqIk7xdGMUMlJSUlCxbMWk/KXoTsIVa6NWzeo4/aTeePXVV5Geni7cddGiRcjJycFzD45Cnx7Ho02bNti2za7m8v+uuAAff/Uj3nrrLbRs2RL9T+iqf7CvvWBskdatWzdkZ2dj1959aNW8CVq1apX/V79+LHWqffv2mDcvzwGTN7HOXez3AHbv1A5r1m2MG6NVq1YopbMgpvVyVElaBRWJaj3Y21a1JqFiSPSiTNPWVPAcA3RhRWucEgVt62eb+kfrzjpfKt5PxjH63SoFnPpP735huLjQkgMb9q1X7yPjX6ep96HwWgna1IM+XAN4sVNMCyBZPEp+E89ZiEdlRtDJ4vWQJWK/COakglxorpjgbfPKd2ygEXKdCL9q4a0yqCgNuurvS6FzfjfiGE4jhoUqMv57XoQr6MjRNfapzgw1aABgzbfQwpcyblDGQCnHccoDfnE0XcOs2Yn++zblXcGIo00E0lYcjmaq0bR9mnItyojIH0PwvaGZhMfEaz0A/u9nefJ7oHOFKr2cBhPaGvZVZ9C1rK3OBP1fqIDiOS+anIi3ST8LEwq63Z0xef9jLYNyQNo1wMRZS7MpWWapKSww5pDiDH5HjLwUxNcfvxdZWVno2bMnPv74Y6xatQpr1qzB+++/j9WrV6N06dJo1aoVMjOz8Mo7H+GPjVvw3nvvYezYsYoXCJAXWR88sC+qVq2KRx99FCNGjDAbg3Oxa9OmDf568Xm46tbRmPDdZKxfvx7z58/HE088gW+/jU0st9xyCyZOnIhnn30Wv69Zg1ff/QgTp/nFSUbffi3+89m3eOj5N7FixQqsWrUKH330Ee6/XzPFk16QVGnldPKnHk6aWXBAkU5PL+A08nuSgUBaM0W94oxn9MeimNRD0XouWy/+/o3edlRRcJpuPN0wYpMqWMSqSA8YX3RRElZJ+4f79Pe1UUzXQUdIhxIUKVptmTVwLB349g5xvbAJBy0cnR9cHP+YTgqnCpPPacqj/MdnPGv+urZRLtrFImzveAadd39+Tr2/Kp15p0btJ8O2fIh+9jR6Sw0SQSaaGk2HPzXWVWniIvauszuOIhLto5laKk0iVl7S+2/+x/dpnh+9HpcJfi813086RqbAoFY5RehxdF1AnSLBsoW48xB8b2jJiaoNI03/L0uup7TP+a6V8jFopwrbKG4U7SJFDpLlBqnrtGXecd2Fu0mx7YJUULC1oIkOBp3DtyzwtlWi1VSourTl3KOpU1bScQa/I0ZerV/LZo2xZNYUDBo0CPfeey+6dOmCnj174pVXXsGdd96JRx55BF26dMHzD47CU6+PQ6dTL8UHH3yAJ54wrOfKmwRKlSqF4Vf+BdnZ2bjqKkvBjgDvvvYcrrr4bNzx8Ato27Ythg4digULFqBJk1h6Zp8+ffD222/jpZdeQpdTzsOP0+fi/lv+zzfG4IH98M34F/Hj9Lk44YQT0KdPH7zwwgto2tSinlu1gKKpezSFlKYxLiGLYx6iC7tJhEpngawLjciYpMXS7IkylpGRBaQej0UFwl4Q6PuoigoC/oucbkQqCFV3PvFOf8TqD800cFEkwSTFftbL+vua8Llhycb4QBT4oyvMXzPzCPB4Q2DBv4AnIlhAAuZCkjxHx09jwp8HS+vWgXbToMrI89/UO54aqbTnui1h25nyCEaqE40oO+LUB+TH0cgYdVjQFNkDpPbYhEYn6O1HnWnBlOuymk7TX/6r3seW2qScTGWEbFscuw06kagzWab6T0sTgqrtZzwif22GL01Z4MxSRcVV13zA7zTjEcxy4KEy1mmLuMokok21LlTXVzpf0N+6iSr+FEFZjIlDXXQ9NMna43VlMmWqwOFaWGBrT5PuGLTrAc2EUbWJVmUv6RCFQGcJwBn8jhhk0mxQpwZeeeUV/PHHHzh27BgOHjyIefPm4c4770TFirGJ/fbrrsS2xT/i8LrZmDhxIoYNG4bctO2oXi3m9R1+9dXYv3+/7yWGDh3q1fCTGrKtW7firLPOQoMGDXwTxfDhw+PGGDNmDJYuXZp3zrFzGffiQ/jiiy/y9ylbvhIeuvMGrJ/7DY5lZGDbtm2YMGECOnf26tSuueYabN68GYc3LcNX417EHdcPi3utwQP7YdaX7+Lw4cM4cOAA5s2bh2uvvVbyJgq8//Pe4D/OoJE5msZPU9jSFAs+kXFc1aCGXdUvmvZnVUGFA6lisyp9kC5yrOu5NsY/1omIxKna2fCIi/QooIt/1tqwlOH/Q9Pgewz318XqCvbQtky2FJbFiY6jRcVjgTKRoJig8hw4WizvcyL2pvz6afgxpj5ud9xpo82PObLf2+55jd3rFjsE8/8UhZH4J5mvqHFIRcV2LJOPwQy7rn/1P07nPRk0wl83YPDLVOApicoEAvyO4MmaRnfwPaOOZ5kKOo0CB9+LhpoRXfp+mpTVUdJ3q/eh3xEePz0ofx5QOxvLC4IGVDxQZfDTTCi6r0n3GubICdLKoLxs4bv8x+kcpromRNGyTaShEgW2QoIU9hkdMzCkaecEml0TzFQMsuIL/uN0LWwLKxXTnQeLOc7gd8Tw1fob1BfR6LXJBT/jIA6kHcTM+Uvw4acTcPPNeWq4JhdH0WlS40xl3NlGX7lY1mXRiJ/IyFUZeD8/z39cVQpgwp8Gdd/0e9Gwm7et8hhvmmt2TrqcQYzWYP/xREAXlH1vjH9epzc3XfzbRhLGk7rVPpzzKOlMNGz99gNHGM+kC0cUiKJUrI7blJoGjjzGIVIfnyzxSLowP/6y5JwDhaY4m0DnilRiDFEjdznRO+DBriFBI1HXkbSZpOAGM9J05/0mffT2k5Gq8R7qXiOCWRFUdFZWQ03LOILX40MauhCAfy1kW/Ki46y3Lb8wYYNGq7oZTyvGmOlt07Vm/S7etm1dez0iOKga45igjKszcdqq1oyizIwqFsKliSAKgVxm8Ksi5zSTkQalKhGdG1XZm+gzqRFBd6S1eWs92hWhBOMM/pKMqGUPjd6ooKIldDyecj0lOxPnXzMKZ1xxI66//nqcfnqed5DWi6nqFtMEda/UUFKdhwiD7gahSSMTok3rIADIEhjSNDqTLYlqRA31gtclta2qz1RkPOksBGXQDIgo6qVV0Lo0lrXSY7j3mI6jie5jEgmh7PnN27bpay7jkEYEClDX8IWBijDZQMUudaBlFskiyp7rtvzvBm+bLu4YBSFKRZ2HJuJSUUIdd7Y9pGkJkghdozsorEqdELLPhEZPg0K/ulE+ZvDYahkAniq47L3UzTgIKs83Jg4J2TWAqsEHDeqjJD1Z9n5SjZVgZtfJ/4jdtj5DfDygVx9eENk1Or3mVQaVqKUvFQVWBQNo4IBCHTmHLIRgAf+acc8a8X6AWLx4iEFZa4fzY7e0VaItQeFAncyQIMHWw7op/XSNQkVSaRZHmsLgF9GNI/Rrikg/o4TiDP6SBjW4RJEZnXZGPGh0XkNkaNpnb+Pwutl44YUXvAdp+phpui2DXqRt+3pqavNEAv0/o+7/SRd8KkXfsNDFb6/rvG3aKkslgtVhKP9x28+RQRddpkaeDTQiV7t17LbFyd5jJk61qIha2EZXGZeWN1SxTIfMEDhIROmAPI4qagkLAts5jbJuavgxwpJOSkXy5ywyaSZ6rgH8wlBRpNnaQDOvbDIlAL0MicaW6tW0Y4vsmixzIjHjRAVT2969Wr6fjF8/id0u/o94H92svDaBlGAarZcJ+NEgQfC6QzUWZO8ZTWMOXtNZy1dV15vDe2O3vD7tDNn7FBW2RjRF1C2KlkyoarlFLR2pDoBt9xoaaNk8324ME9FK1jc+CkelbSciStBpkG/wK5x9R8iaj87B9Dtvm2VKHcmJDBqUIJzBX9KgUV4qrGYC9WzTCyK9GKpqlERtVaixbquiTS/stgtPE7GSsESRuiTK1qDvp6pGPyx0kUNVgKkasUqIaMHb/MczQta80e8bjeCosFUPp0I1bEFfq7X32JdJSK+3VcCl9CaR3W/v0DuGtvA7/xX/c7pZJyIjQqdGlRG2s0EULHkv/Bj/JenrVypSvQuSM0laryiiFyW0RlvkKNTFto0cvRbaZjXotBjboXCUMoIirTQaLnM2HddT/FyVenqvvfR9vf3CQp0YQehnEIysU6NTFlmlavBBQ5Ual7LUb9m6Q1SLHuTbvA47srWUStuBrc/CpJvrBICaKLIuaHYbpRH53tlm3skcIrrQ36BKZ0hEO4N2g8y5EXT62DgAglHs8141HyP4HctP6Vesg+kanWXnBJn2pHwM0RqLruN3amSZ8LC1cYopzuAvaVCvtK0KOq1Vp9EJenFM3ysfQlTDTCde6wUUMWyOaNRKR4VtLetchaifDiLvOH0vTNXETdFpHWWryHoCEUu0iZLS76aJkKGtw4gXaaCph7Z6D1FiI17Y/xZvmyeOyIMqILc8zZ8+qEqfZHxM+pPXaa93TJCvbuI/HkX0IFPze01LPfoGzmfnCr0x6O+s5al6xxQEND1XFb0U0ZsoPavm/xX/87ZF/dt1se00QOci2wwanQidrgr12QEtFyrqJoqQAt5agPfbake6Y9g64amzMyx714qfO0zWHTLRV9n/IetsQ6OYMu2Ohl3Fz+kiqm02gc0VYTpWVJY4fFjL3e7DxPsAwLJP+I/T6/Ka783OK38MasZYpmbS74qtrlN+++EQ6aF1La5tpQPr+OqkhbDuNT6uM4dmSv/ayfHHBFGVoLHsgmCWAbUFdK+vTQOtpW3ezwZd1PsUUZzBX9KggiO2gi/0YimKLItqylXP+2rYIzCKdMTReJi0kmPYpp3/kcAUXfoZ605knS5W78OD/v+iVk626rTNT/K2w6YLHzBowUO7DYSFLm5EvxsVUYo06Szeg0ZXWGGilBSgD8kS+K9maz0q/HORIAvEFt36aNn7tUvTWF/4jrc98F5/Suu2pXpjUESpsjISlR7ZZoi3vcUgLZa2n6tNDEPVQtEkU0eFbXTxV2LI6EbCg7BrcnDBS9E9v+DcSOcLWctFVn+7m9PakTpTTFS7KVEKO8p6z9OIt2yunCOJgq7+RvwczRpIkxjRrOsRLWdj1GwpPq4wIkvpZwEVVUtfHeewbTAg6jJIk4CA7zzY9y3XvnSLKtPrztNBfR9a/ibLVqDnGFfDrynap7OGULX1ZGJ/Qe0B6sigJWQygh0lqjXm7yfDpFVkEcMZ/CUN+gO2WSwCfgVa2zFE0PF0W48lAjpJ6U7eUddIRwF9P3U/K1E/aRU0giRa/PJ6kOsQRZkGQ9Wbml4ko2gNw4PWH5tg0hqRx0CiMq+T4k7rGbteGc3vnRqGulkClCj6vtP2ZbNe0jtm/Qxvu0Yz4MxnvPtvW0Tay1X2d3D48u/mYwTRWYBR7QX2P9DWmarsLBG0jGfV1/rH0VRY6vBVpStH2WElmCEQbMcmQhY112Xua7FbmdiWqpc1I6iITbP4Gkl0AL65TfwcTYuVzd9MZItnMEXpOJVBS4RkEf62Z4mfm/O6+DlqXMrU0Nn7xBMVDYoJimBp8LyUdZYdJEqVjxIW4ZcJCsuyLnRJ1Vw/0etHEFULTB1kvwUZtGSOXitkBP8X6vQQiVIDQBZZAwXb8NHAiyzAQm2BYElUqmZKv07Jo07JEg/6fZj1st4xwQBFdQuDv0AFvAoWZ/CXNOgiKRiRZl5pVfTRZ3DZ/jg0jivIOvogNG1WpvTvqxm0jL6qDNCo+P4fevsFsyJkKY4UGr0MS/A76KudtFQpb39e7FbVJomqzVaWRN2SAvm+6aa5UahhpzKoAP+ituNQ89fjQSMSFWqK9xMRhdOh8yXe9uLxesfQRUffm4CeI8KfR7tz1PuooOUuG2er96fRuKZ9Y7fUcKDtlWwx6SRAje0ul3vbWzVrnYO0P1e9T5DTAloQjSQ17ZRE9p63IZjeS38rsuuYLLrqG0MSdVySV8NP50+GSGE9aqhwMM8YYech02zQbbMpez9nPCN+TmfeBbz3sdmJ8c+xIARNqZZRzSJjkcEi/LYdj3RZoLl+kAnz6SrUp4YsAeJBAz7a2Z6BaxnNCAlqUFA2k9aUQUcJ1QEQpdkDwCqSyVIp0A47P8Kv0DOopZGtouuslKGbMRYsU6Z6HLKMCfqcr/SyeOEMfocHcwaoUqvopGq9+I6whrlK/ejG4iFb1NFosO17EYVie/M8BXjabz6ISiGfEYyM9LtZ77j9BqnyKoLfQZqqteoruzHZcbLFGADsJnXl1DC0bbsVliZ9vW0aobdJgaSLRx0HzawXve2Wpwl3M4JGrApSY4Nik7ZHF1nHXyaPIOpSoXr4MWiWwI/3q/enKcushRptpRal404ETTulLVCpo89GYwLQzwChi7xgqYpuWq/sHHnp3ImAZqAFU1op9TqKn5MZF6aObJ5haFLiAchTcWWCe/Q3yYsssoyMPyWZRbplSzKhQxmymngKM2x5JQbz8nR/dBXQqfZKlLDPQpU6XTvPiJKtJVT92qNEZgjbQr97FWuJ96MEv6PUGS5zGtCgWzDzog7R7aAlvEHobzLoENKt4f/uTvnzJvS/NfwYHc7z36f/l6w8gTqoddt+FkGcwe+InHEff4Xq7b2a6zFjxqBr167594cPH46h14xSD6Qr2idLW9JNsw9GA2h6lixtSZbur9s7fq+kFrWrZi/S9dNjt7Tvui3BjAOdPrxAwV2wbdLATaDp9rStYZkELBJ0oItTulhUpRPTSNsJ/xe7DaPUH3WtZBioGBkvoqiijGX3BUYiFoy2+HpIG/7+2SKVRjW2Lgp/TirYfAUAbUlaK3Wa2qaC0kWqqJ0j4I88BcvH6KJPVrcu67Bi2mM7GJ3XhTod2p8n3m/Gs+LnBtweu6WOHwb9HIK1vrqYHsdLe2c956kDNIhuJ5qJkmy33n+L3YrWDkzY0FazJxk1wonqUMLeb5XjgYmzLnw3/GtG0bve9rcGAOXyHNan/FO8z6JxemMFnYL1ic7Spjni4+icLws0ydo2UgHZ4LVd1+CXORRMOSDJLJPpABwkGhPBtSsV2ZR2uyBr3LA6RYWYQrSCcxQIsjqsvC/6jl17cPPNN6NFixYoV64cGjdujHPPPReTJ2umjyl46aWXMO6Fh9Q75mbHnANDhyp2jCDFN7iApxOqzPGQIrwTL6Ziw/LPzPa3VbqlWQZB0T7b1nRhkKmPy4QY6Wd10t12ry0SuqlKLgS6bbJsoXXU1CCi2SyqTIctC71tmSBYUYQZKICe2B11CrQ+I/zrRxHdt4FXzhLFAoWKqummHANAF03RxSB0vhF1XZAteGVQo5dXQ82g6elBZx5N+aYL4yDLPhY/xwxUXXjtz1htrew7S8v0ZOV4svp79n1u0ke8DwD8+qn8eRH0M9Fx5POy9ljmyVJJa9efxhidFhfWzUZUysacQ7Yic9VI9ohtJyJT5zPveyFbC/KIov1dFLobQyRt3lqcojdGpwvsX5+1CJb9L6L2woD/Mw/OEdQhL/ue0/lJJogp01aQOU50RfuiRNR6F5CXFtDOHMHvdKXa3naaJCBFdatsHc1FAGfwlzRY6yReCt/RA9iweRt6nPlXTJkyBc888wx+/fVXTJw4EaeccgpuvDGa3uHVqlVD9WpVxOdhjMTg152wpB5fyUWZpjsGPa1RCBWZLipkqqwy9X36OsEJL4qSCRaVaaxYUDJkC1xZDR9NzQqet25PVlELI3pO+9bpjaW7AAlCI1WnPuBtUxVzZcucSd52xwvtzoMH1QFQpV3TCKut+nEWR6SRRvgnXBv/fBC6mChMrexMoYtMliZb0JkX1BllK1RKjVtR1gltu2cCjQ7v4qjO558D+V4Fu7LQuULVcUZnfFvDbuUXsVtZm0M6H9rqyEx9LHbL6vBF0DlFBE9YlJbu6Gjz9Byp3odHFJoK66bEbg8JMofY9eHn5/nPq2h1urctEyZmxsvxl8U/18bQaclLMTetyT9TUQpXUMgc/rodj2w7EVHY98QUWjIoc9DJrq2yDhEUWatXWTaYboRfK5CgGZCzbRNOv8fBNTh1jMiyf9aR701hyt6LGGfwl1R4tX5ZGfj7fU8gBSmYP38+LrroIrRp0wYdO3bEqFGjMHdurIb1+TffR+fTLkWlVv3QuHFj/P3vf8ehQ/qeW19Kf5V6+Oyzz9C5c2dUqFABtWrVwqDLrkf64SMY89xYjB8/Hl9++SVSUlKQkpKCadOmAQB+XbYMp15yHSq07Ita7frguuuuMzoHAP5FmKzminoQg8hSmqhxpgNPbEq3LIAhi/bJsgVotCsY0fcJ5lnW1R7NS5/VrfOXtaGStQnypbcG3k/drg+iyDk1AnQjLLaCNdQBI0od/eW/8jFoWiFNbQsLrQVWRYPpRfbMp+1ej9awnnhH/DnovMdU3KrTRXbnERa6eGL/hynUcTHoQfF+iYRGjdpYdrGQGeJhoQ5LXtSccZR8b4LinDRqZpv+S4XBolAxF0HLysK27VSJLR6UzL2Mkzh1vSzQAMivp+x6p6vYbouu41kG1fQwgX63ZO8nM2R4NcWmGWZ9I+gAwmuNxhMUlGE799K1mm3UmYrcHtJs8yZDN4AQRNfRIvud/KQ598uuubLMJd0Iv0wkkWVYNuwqH4Nx8j16+8mIK80lAcXJD4uPY5oYxRxn8BcAubm5yDl8OCl/ucHIAjPsOEbEviM5mDh1Nm4cfikqVYpPE6pevToAoFSpFLz88F1YMfUzjB8/HlOmTMHdd9ulT29fvxpXXHEFrrnmGqxatQrTpk3DhWeeitzcXNx5/VW49NJLMWTIEGzfvh3bt29Hv379kJ6ejsFDhqBG9apY8O17+PTD9/DTTz/hpptu8gZm0V2ZIe9rLyj5KcgmNZngHo2260Q1NnEWEGcr+tsGUSnQ6xCcNOl7aFvfy/qU69b526ZM00VYFCmIFLoInf+W3jG2C/B1xEBVdc3QwdZ7zoO2AdqsaC9I3yeaXmfChpneNmunZ+qFn00U9stxnGi2nR98YyicYb8Sh5sojV0Fi8QCQKW64v0SCY1c23YYWfxeNOfCg87lss9kkaSemKZzr/5WvJ/s+lKRfN/DGuIy6G9Blu1h6jzmoZPtwKsXp99VmebGsby2krbvV5/r9fazNdYptu8n/W5tXSjej/Erx1Gvm2HG4BmnNNNABxqZZrDuHrqGPxXBNYE6tWy1E2jL0iiU4wfcJn6uh6SDi6/ThSTzhyrMB9EVepbV8MtgBr+s7l3F/Ddjt7qtS2X/rwzamUa2xpA+l6RraQGTwKuQg5F75AjWdC+gPrQB2i5ehJSKxFDJn2zi02zWbj+A3NxctGvVTDrmbdd6PaybNeyGRx99FNdffz1ef/114wv19m3bkZWVhQsvvBBNm8aEfTrXujT/+QoVKiAjIwP163vp2ePHj8fRo0fxn5ceQaWKFYDabfHqq6/i3HPPxVNPPYV69ep5/5+sFYesxZA2kgmbRlV12lTxHAu0xYoIuqhtZamkTif2YGYCNZxlIlhNBwAbZwKtBtmdA8W21/pukqYWLBfpMUK+yFdB08Nkqa3UeDz+UvF+Mmi6YNkIDP4oa86pUNmyj+WLbJqCTktcGp3giSPm5MgNlYX/9rajEGxiBlLpcl4EeO9aoC5HsExFjWZenXjaVrkyO80wqU1+16mVvffp6AG5o4r2dy6o3uZBokibtq1/1oGmdcqiWLLUYFpmMPc1YMjj/P3KVYlF4nh93SuS+UKng8sZj8U/VrG2v76Uh+5v4thB9T5VIsgE4qUb09IPUckUNWJ49eUn3wNMf1LeJpY9F6bdZaNeMQVzkQBi7TaxdGjd7jVBqMFquy4oW0ndMo1msPCM5AG36ZVoMHiOZ5ZNo6v7sWUB0PZM/ddk0FaJtKTMBDr/RqFLVJVjoJatGIuKy0QM6RpZlhIvK11sNgD49RP1Of5mqelEnYiHdvkzdHTRcRb4Wgtblj2t+EJvP5mmVhRBlSKAi/CXNNjFg1PrnUu9qJKaw59mzMNpl/4Nx/UYjCpVqmDYsGHYu3cvDh8+bNZ/GUCXLsfjtNNOQ+fOnXHJJZfg7bffxp/75d7XVatWocvxx8eMfQBISUH//v2Rk5ODNWvyvNDMm3s0QhVRHrK0Lqp4bFvDqdN2hxr8thPX7Fe97eDilE6Usnr+jXmR2LU/2Z0DTVO0rbOmEaigEdltmLdt+3noQPuYN+rlf0635jnRooBhoJGtbYpe6bQOmzodBpAuHboRACBEG1AOl5Eo8zSBQceD1hfT/0PVzo4+36Crt02F70xadCara8ISEjUKLqKotoKUCH9/snrc5Z+Ln4uiJSJz9qz5Lv45aoj/9oN6LF6Ea9CY2G0FyWKVzf+67d54MHFAKoZJYc5TWdtXBk+TgX5XRSVZdN7kGajMES2Lzs7PE0vjtbLThX1ujXvxn2cGp6zjCdMxOP7y+Ofoe6EjnMfb5ySNkiBZ6RvgdyToXA/bcZxaW/Pmf91IsK2hTf8XW6cvnVtbWmrr0OwUntOSpcDL1kBUJ0OWeSeLeNfrELvl6WVEAV2nLNNwLNii+o7qoOs8lmku1NYIrBUDXIS/AEipUAFtFxdAqyPBa3PheIdbt2yBlJQUrF67IXYB4CyuN2zYgHOG34obhl2Mx+67HTVb9cDMmTMxcuRIHDt2DKaVd6WrH4dJkyZh9uzZ+PHHH/HKK6/gn/duwbxv/oPmTTRFvniqmjpqsPT/s42AsuNKcwxtuqj/cwPQ4Hj5WK059bA0miaKhNIUW14N/0l3AzOeBupLXl9WtkC9u5vnAvUtou9VGwFpkrp8wN9uzzals66k1zR1nmQdTaA4C1k8Bb9Xp40GJubVqu1dB9RqKRjCUFApEYgWgWFa+zGaEV2IJe8BjZIQrabG6e+KSBdtjUhVto/r7m3PHQucLqkTpHoGdO4ZcLun6rz8M/v6/oJC1uIrGR09ZJ1JZIvB5icD88aqx4+iNEjHEbt+OtBxKP+5I5JsBNYpIMzimUU/Rb/tZv1j6vWy6wRDVa4iivDTrENeDb9OB5pdEpEyXZZ9FLsV1VAzB+XKL8W/1fqdgT/XA416yl9Lx0HW/ar4x9qc6dUkZx3jtxmlThPe9YQGK46lA+Uqx+9D4V1bl0+QHxPEdn6gZTW2azVaBiFr8yaDzie2/8vm+Xr7yYIerBvFn+vtzkEFdUQseBvod5N4XwBoflL8Y2c9C3zH0fOgRKGlkKMopdPBVoCxiOEi/AVASkoKSlWsmJS/FIOIWM2aNTF4YF+8Nu4TpB+KT//bv38/Fi1ahJycHDz34Cj06doObdq0wbZtpC7bVLU5pRRS8iL0Dz30EJYsWYLUsmXxv+9jqpmpqanIzvZfrNq3b49flv2C9MN50dzSqZg1axZKlSqFtm3zlKt1BFV87TwsI4ds8ZLNWVjS6BetyRbR54b4x6hxIcqeoI/X5Sy22DnK0u5+14hAAX41UxPaa6RYUueG7UV9+lPi52gmRCIj/HShFXTAUAXxMPVxYaBp57L3gTrNeCnLYaCLpTBlFmGoSaIjKnEiqpLe9Upvm36eMoE4GTQyO03y/ZVhk+Zq20FCRrMB3nZBfb9lZTPUGRpE93sXxf+xfrp6H54QqE7a7pII9BBYKzqRJgd7ftZL6rF6Xyd/XlTDT0uXeE4WXdHVqJj5Av/xnXnZV7JyEZUBwTImdOYM+pti0Gu+SDiYBkKqN41/ngo30z7kFNobnXdN7jmcfxyFllXyavhTFY4GwH/ttm2bRvWHeIET02i57RpFNidRqOhuQUPXwzrddbZysvR0RKtpEMhW16b5yXbHlUCcwe/wSK2E1x67B9k5OejVpzc+//xz/P7771i1ahVefvll9O3bF61atUJmZhZeeecj/LFxC9577z2MHUuiJFop5Z6RMW/OHDz++ONYuHAhNm3ahAkTJmD3vj/RvnVs8m3WrBmWLVuGNWvWYM+ePcjMzMRf//pXlE9NxdW3jsby1WsxdepU3HzzzRg2bFhe/T48MSWZmrqshV0U0ElTR51+18r4xxp2U49B+5DzHBdRLAgZOqmSTJ2VIlPdZ9ALuW27RpkIElU7VtXFhoHWWQfThqkjavvSxJ2DDFrfKovY0ah21BfVotb6hjoHZUJtNuiqysugi2apbglx8ATTSaP4jNud7W1HIYQogv4fMjVrGbJWd1HDDGYZvM45Ou3DciLMBuKVJpiiip6KIvzs+yJy1kdRZxvse54omLNUJJrGopK0lM53PFmb8DQzqENEFExg72e5avx1AZ3HeN89wN+6jZd1V5NkqIm+hxnEYcYTTNUxnFWtgXWcBqpyU143hCDUaaCjr8SjqNWL67y3vAwTHYFn+v2xLVGbI/gNOeJwBn9JhVcXVqo0WjRthMUTP8Ap/fvgjjvuQKdOnXD66adj8uTJeOONN9ClSxc8/+AoPPX6OHQ69VJ88MEHeOKJJ7wxdITwyFqtarWqmDFjBs466yy0adMG999/P5576B8489RYyu+1116Ltm3bomfPnqhTpw5mzZqFihUr4ofPxmHf/gM44exhuPjii3Haaafh1Vc5P3yZqnAkon2aiCKp9HFeihh9TGQg6mQPFCS80gVR6jplK6kHt04bl2Rq0NKEVSFqPFXIRGRov+8NsxJ3DjKoorJMI4LWP9sq6BYXaLQvipIGShS6BLSUgOc4ZNCygv63+p+j7ZMy4jO8tKAOVkM9FyPo2FFnnyQCHacEr9+6TteVjhfIn2cOWF7abRDbUioaZVZly4ha0bHafFEkv/ff1OfBlOdFziuVzgbFVhyOkqboSiPqG3+MvIe8lGXqMBUJqh3Ky6TIEGSoUIFGkRAnjUbzDHNqiIsCKLQlKm8MHQNYFWXWEStWdRTR0cD45WNv23bebhGBY5W1Sm7Kyf6IGqYXIINnT+hkUa5QlIS0PVv+fFQ06BK7PU5RglPEcQZ/SUVSf9SgXh28+tg/sGHDBmRkZGDLli348ssvMXDgQADA7dddiW2Lf8ThdbMxceJEDBs2DLm5ubG2fTlZGH7Zedi/yotyjhkzBkuXLs2/P+7df+OLd54HALTv3B0TJ07Erl27cPToUaxZswY3/d1T/a5Tpw5+/PFHHDx4ELm5ufnn0Llje0z59C0cWTcHe/fuxVtvvYXKlYknUqdXq0ztN2pE7aHo41QFnkEXYKJIvaodWBjF4iCVFZ52gF8PTRcXIqV/VSbCCf+nfm2ZGBi9KC39QD2UrQiWTPmYRlJo9KQgob3Tj0oEsOh3z0ZZuSChqadBoijfSKSqfBTQzgkbfhbvR/+P4Pebigfa1lbS2uuNCXRoUUOEF13Swba9Fw/ago/HoIf4j9PvJi+SRg070feYGaZthvCfr5L3Ocuy3RiszZopJp0bRBF+UQo9g11Dykk0Fao3jt027S/eRwUzQKkgJ4WW8ajgaepQhOnd5LPmZbvR74Xoe/zz8/LXpr8bkYYJNcZ5ziA6h4gcNfRx3hg6qd+qEgmdtsfsNyqKzBdUCZKs7BDQy25kaz5euYcuLEtEta7ScfYP/Ef8Y/S7L8o6ow5oHia/tTCw8hyZkn8xwBn8JQlfNFkxqWil8XA8s9Sg0Ylq8+qxqDNCNAYvNcyHhveVvQe26eP0dXjGOoUK0lGo9771GZzhyf8hurCrRKXCqDcHOSSov6TwHBBN+njbomiXatG4d636tWXQlDFViiBQ9NLOdaHfKV6PZ4YvndOybjKRDLzP2xYKgcGfWigTrizKUGfWZIlwIBXZCkao6LxrG+GvS6JBKmNHxEX/Vu9D54pgJwxdmPPStnaU0rQv/3EWcRa139pCauZ5vzFadiEyDld9HbulpV0UtpiV6bSw90LkNGAZJKISA9U1nSISIFSVfbHMGplKP4vgi+rrZd0OGCwLSyRi1/HC2K3OuuHU+9X78KDvJ2+tQ8smRGs1EyclFR+l0PeAt2ak5RciJyEVqeMFmnSiqjMVzgv6HonWjOw6IFpHUAFFUXlCFAJxKnSMzi157+m8N/jP68y9zMGhKm36VkNEtkG3+MdoeZco26uSot2fTimoitKSTghBCrLMKwkk3eB/7bXX0KxZM5QvXx69e/fG/PlyBctPP/0U7dq1Q/ny5dG5c2d8952/5mzChAk444wzUKtWLaSkpPgiywCwb98+3HzzzWjbti0qVKiAJk2a4JZbbsGBA0kS0CpIjC7KGu3seBei8sTwFf3I6QWblxZFvbWiyVsW0QP0Wi6xNkChJvG881O9X6Kom0lLPVHqquoCYdNDVYROn2ZePaCs/Uz+cdXlz7MWWFEgi2wzbNNbdVGle4owrQGkkdsgS98XP7fyC7PXkRGFp552vQD8Sv/z3hQfx0S2AKD39eL9ijI0si7Lbvr5WW87KORFHYeqaCvAb49F5/MJCvE2EXTOF0WGaJs723KTg3m/v92r7I6niJwGLNtn/lv852mrMN58Q6Pyoigma4cqcsYu/x//cQo7Vliukve5irKS6Ocu6y0uo56i+0u+gZ2rdg6v+Zb/eCVFJgbg/Y8io4+Jnora9lEqC94L5ng84zH+83TtVIej5E+d1yIHn0zMMohIIG6uoosFXQOKnK7UyOet91KJ80KmPyKDZnSISjWnPykfoyu5TorWrrQkj4cq00cHk24boqwEmQM8iI6+FA/6++CVBlIHkai0VlXeoJO91WpQ7LbLX/jP2+riFEOSavB//PHHGDVqFB588EEsXrwYXbp0weDBg7FrF99TOHv2bFxxxRUYOXIklixZgqFDh2Lo0KFYvtxb0KWnp2PAgAF46il+2sy2bduwbds2PPvss1i+fDnGjRuHiRMnYuTIkdz9ixV0IlRNTCKDmS7GeBFQ6kgQGdKqlnnUCy9qT6ZqW0aj4YkUjwoLTXtVGZi/fMR//If7+I8zqMEvcqAwg0yV9qlqMwTwU8R0ouUqxd8oDfBe1/IfpwuORBuHOsKBvDrSy0k5gsgIoJ+zqnaxIEhVZeQIoI6ZYKYK7TZAjfogNMKv0y0iEdguZClRd5YIOn2pMaTTpkiVjnlAYyHJE3ijRqfIebH3d287Cg2EsKiMK5H+Cl2McjVcyiLf2DZJm48bQwL9bh4WRN9ZuZWo0wtd/OtkT/FgvdFFUXh6Tf9TkDGnYuA9+vuK5hT2OYlKVuj7mS7IZmOfyS6Bs0mn/SFDFExgkX8d7QZRdH7TXPlx9Lv1h6AThWqMeqTdn8jQPk7RtpVqNoi6QKigGRuiMklV5qvONV01hqwdXzLozekeBfjfI172KX0/RSUjG2bKX5vnVA6y9qfY7S8fqvct4STV4H/++edx7bXXYsSIEejQoQPGjh2LihUr4p13+MIqL730EoYMGYK77roL7du3xyOPPILu3bv7xNqGDRuG0aNHY9CgQdwxOnXqhM8//xznnnsuWrZsiVNPPRWPPfYYvv76a2RlFWLDMAroZKrqISpKu/apPHOMOPrDF4m4ZCpSzcpEkFpKU/plwn3Jhi6aVSqlMgV6GdRQEl3IWFse1Xu16iv+47Qun1diQI0zUarhlEflrx2mLjOIqP82rTfUudgkHI4xQ8tHRL8PujDXydYxhapdiwxRajzoCG7xoAuCMwNOXBrZlQnVUaVsmUMrS7Ndkg3UsOt3i90YdCE7VKN/fBiizAoKQr8vvNrPao29baGhnMDPygbbntxUKZ1nmKekeM5S2+uYSviPrgtEDhaV3kgUnwc7DyoeSaEOX9v3oharF9cp+RN8pqoWtvT9FF3rmBNSlGElyggxgc2/hzXmf5EjX/W5UmebyPGwb518DGoYigx+FsUViTHS+crEWUKhv79tnDZzgFoRXqc8gbUmPFGQKi8qzeFx2mj9fUWIynh6jIjdioJ/OYrsVPp+itYponUYo8NQ+fM6mGi1qDqMFHGSZvAfO3YMixYt8hnmpUqVwqBBgzBnzhzuMXPmzIkz5AcPHizcX5cDBw6gatWqKFMmwSm8yYZOptaCRdTg5/zI6QVAlDatEpmj52Yb1aDXc2ungQEVLFt1FUSdOBXaS1Qv491rvG1VJH6uoO5MBRUmU0VMVeUBopYxtNyEVypRt2P8Y4mEFzGgF6XNghKoPSQCylP/Dgt1hoiiVHSxSI04Ez4iaZZR6AgEUwSrEqdBpmWbTlojKHJyUgcq1bMwgaZ61kvw91BHL4PX21sHGg3mCafSaJ6oFjUKBXVGp4vsjqMOLdue3DTrTvT9ZuVQomshU+k/WRC9VqXN0oW7aO5WlXKJss9MYIaOaE6j87FKw2eISBgt17vlOfjodUVU167KgvMZQgb1wxQdETpGNUGa+fd3xW53/io+ll3PRCVXJq3nVFF4EZXI2klk8DOhu/WCLAJaRrhzhd150O++bZq7TpBg0buxW1G9+El36b9eQ8F31KRuvftV/MfZfCTUMyCfFU880Jd5ZZmdRp1uJr8JytnPxW5V5RiAXmvGIkzSDP49e/YgOzvb65ueR7169bBjBz8lZ8eOHUb7657HI488guuuk9cbZmRkIC0tzfenIjfqFMyw0EWnrcFPPda2qZSqmnkqQFVWUK/MLvjC9ChybmUr8ndhDosIlDlzRYsAtlASiR1FYUCqDGyaqktFu6KEGneq75ZJfRmFLtBUZSEiw0sFrYnjXWB4LQejhkZyWw+Of75OW297z5r45wG/Q0PV0siGDud726JFGP2cebXBpqmLOh0iTBn0oLdt6xj0lVgIInqLxnvbQS0CXX791O64RNH+XLvj6DWEF0Wl15Wpj/PH2C343jNYmyUdbNsHUiFWW+FXlWI34BmYogUvu16KeqmrnDf0/xc5Us54RD7G7tXy53VgAmSiub1Uae+9EK2t2G9L1AaW/j559c90bSIydusrtAbo+0kz20ww0WmpFmJ+Z+cnciYdnxeNVjnQAWDzPP7jKucM1W5QZQPocNBSG4fOO0pRaAFdBXXkPHYIHDEmzkMq+knpPkx/jP2C1rzsmjXjaf7ztHWkKnClmq9F0PeCtm3mcfzl/MdZgETHiVNQXQGSRNJF+5JJWloazj77bHTo0AFjxoyR7vvEE0+gWrVq+X+NG4sjVmXLxr6khw9rtIYrSOgkZmusmyyKbcV76LmJjFl2HrLFgWoMtvAU1S2KHAUcjh2NGZilSweiNOzis1yghs5SKMO0CGQXTJEaP10IHlN8fo0to4904a6KxNp64E2MbdvMiUMkHZCn6F5VQ7QwLPT96fbX+Ofp70OULTH3dW9bVSpiA43YbxGUmtCe1/mptARa+qGjs2Hbfk0G/T++vJG/DzUu6rSLf546uEQOGDpv8hboA+/1tkURFSpaqRI4Kwhs09hppoIq+iyaN6coDFCTaNC+9fzHVT2uqZEkFLtToLMQVkX42XskWtDSOZ33O6PfN1HHF3Yt533/AVhH8Exh87ooS5CVgIjWN9SA4Im7UWNd6EhXrJ3o+ylyGqjWRm0FadY8VDXyMtj7IUrd/zkvOqqTGSjSvKHlXzzo+zz/bfXrqIgi0LZQo1MID+qoOWa5/le1U6SI5gRVZyaaySJyMKgCc8tIVo/KnlggeD/ZHCsKSugI/zGYBkiQ5Z/Lj/O9XgLWGIWIpOWw165dG6VLl8bOnX5Fyp07d6J+fX4kp379+kb7yzh48CCGDBmCKlWq4H//+1++kS7i3nvvxahRXl/WtLQ0odFfunRpVK9ePV98sGLFikgpDMJCmTlAVt5kmCGYKLLIZHmUE61KP6g/xsG9ADg/INVr+Mb4E8jlfDYmY+zbwve0q8YoWx04kq58jZxcYHd6GipWqm5eFsLUsGWthlSwRY5I3ZU6E0Sp8OWrxy7qWr3uOVCVcJV33Dalmda7Zh0FIHGS2Nbf0/eQ5zSgF4SsDPuUTRl0MauKECWiPl8HOp8t/wy4mHNBX0pEdFI5zrOG3YEVeQrim+f5VfcLCqoDIKrfo4th3u+j2Yne9trJ/LRAmcYA4P+uHdjM/9zpZ50IJ44O9LtpEkWnsO4ogDr7hJfhooPJ71Jk2KlakNJ5TtWWVYRO6zTdGv55Y+N1LgC/QyonK945QZ3mImctW3iLIvkdzgdWfik/vyhgLf0ObgfqipwPADbM8uq+KfSz5v2v9LcuytpQiaDS36ko2+3EO4CJ96jLSZoI2j36EBi47DOR/U5VziSdqGi1xnyVdoaq44dOh4dSZWMGqI4ArapkVAfbdnA0uLJpNv87yGAtO4O0HuTXnZEhMtabnwRMFXSAAMz0vESYrD1EzgPWYYReEyj03FSlNL/9AHQRRPllUAdRG05r7GJE0gz+1NRU9OjRA5MnT8bQoUMBADk5OZg8eTJuuukm7jF9+/bF5MmTcdttt+U/NmnSJPTtqzMpeqSlpWHw4MEoV64cvvrqK5Qvr06fKleuHMqV019EMCeEqONAUsg8DKTviU2e6YKoRnp6bD/RPod2ehcH0Rj7WZR0N1Cds6DZT6KoqjFK/QlU5aRnG41RFtjPuSiqxjh22Kuh5j2fmwsc2A0gF6Vyc9CkVXtzx45I6CZK6MKmtiDiwDz4G3720vhMECkW8xAJQqqg/bbXTva30QkiEsRRQUUJeQvCtmcB056IbWccTIzBT3sfq1KFtRaESUKVKt3zGmDSA7HtMA6vMFQnTtvfvufvQ2steZ83zTz4+VngtAfi9xGVPTB6XgNMyhNg+n0Sv4uEyW8sUVAlbpUYnIidxPmhmi/bCVqRqmh+sjhlNkir0/iPtzhFng7PjHVRDbUO1Zuoz1NllKmgRkFOJoDAeoc65kSIdDryXyPvHMNoKzQ/OfY70dH7mPGsOKIHiCPWPkV4TiYNVRMXOYJUGWxLSYmP6PvNXnvdVP7zLOtElD2lA3M2yFT6mUEVpnUZM/a/u1Pc/UYXUavatmfGrs06Bt2id4FT/yl+XueaKUpzV5Gqce1u2B3YthjocTX/+XbneAZ/dma8UU8NVFF3EHrM4X3xZav02iwSyVRRTpANFCX0eqsKJInWYrVby4U26TxQo7n+uRVBkqpSN2rUKFx99dXo2bMnevXqhRdffBHp6ekYMSKmDnnVVVfhuOOOwxNPxBbYt956K04++WQ899xzOPvss/HRRx9h4cKFeOstT9F037592LRpE7Zti00ca9bEUubq16+P+vXrIy0tDWeccQYOHz6M999/31ePX6dOnfiUbEtSUlLQoEED1K1bF5mZEXgco+CTq4FdeenCNwkuJK8SY4+3z2ePAjt+CTfGf/8J7P0t3Biq5+k+lRsCwznq8uz5rn8FunFSSzfMBiblGY7Xz45PKT6WDnx3KZCTjdQLXkGpVAtPadmK8r7ZUZFaJZbOLxLBYuy1rKGbZ6AqrNPyiweNam5bHG/w0wuhqsZfxG8T5c/T2tANP3uCWTzOfcnuHGgNvyqNvSAcRqI2WWGhC+dln8QWdYWR1aSnd8cLE/MatHxoyXvhF86JgkaZbYXqRNEcHssnAD2Gxz/e6vRYj3uRhkvvv3mK2gd3AlUkKa6iKGuqIOODwQzwME6/bsOA7++Wt61U1fAzRE5OaoTznHBH9svHBcRlJsFxw7ROrds+ZvDr9I9XlaaJRC19bYM57wVtTyfKoqH6MOl7/Bo5gLoLEeCpkx8RlBP+lKctokqrlsGyp+a8Bpwh6ICT70wqJF0vRMJqzBGv811VqfTrXGdsHSB0LhCVFW7Lq0XnaUgA/o4DGQfjjXVaiiLSVqCZJbzSld3EgVe7DX8MFY0sRRptSdsmL+us24H/ePOTvWtBbm68E24TEX2PsvVzISSp/91ll12G3bt3Y/To0dixYwe6du2KiRMn5gvzbdq0CaXIpNuvXz98+OGHuP/++3HfffehdevW+OKLL9Cpk1fP+NVXX+U7DADg8stjHsEHH3wQY8aMweLFizFvXkxcpFUrf7Rz/fr1aNasWaT/Y+nSpSNzIoTmD2LMiLIaDm2W77N1tneRsh1j42T98yhVhr8Pe750OfUYZRVjNDqe/3z5ct4+B9bGq/Zm7veeryowpFucAvwh8OIDwIDbY6lXqt6sYWELpF8+kiuRihavjXoBWwTqyYC4dtkGHe0EXiosTeVLVC0WFZRU1Z1vns83VlRMftj8mKjxtU4z6F1tAv2MVP14k8n6Gd52uQT9TqkhYlv7WbtttL9DHlTvJMXyujb7Zf19RZkRa/MisSLHHo0G7d8Yb/Cnk+4Xosh58xOBWS+Kz43NQWEMfhZRlrU/U0X4a7eJtc0TZVzQawvPcNfpfkEdnTk58cYw61kfJguFGcE0A0REV462CaWFJPrP2Dgr3rmg81mqWlbmKpwjgDwFPmp4Bh+D/Q5WTJBHxQsKlWjanFeBk+4M9xqLxgH9bw03hghadqhqafjHdKDblfGP07KGw3vjDX7axUKnqwbv899EBBZFY1Ssze8SxGDrH9vSLlMmPyTXtqBCwhTqmN73R7ygJy3jtHViFxGSLtp30003YePGjcjIyMC8efPQu7fnjZ42bRrGjRvn2/+SSy7BmjVrkJGRgeXLl+Oss/wpf8OHD0dubm7cHxPlGzhwIPf53NzcyI39IkmvvG4FIqNL5JFOFP1ulj+vk37+pyDlnyFSl6UXdl46EW07KBLdkxn7gLfAsFW8pgx6SL0PTTfk0XME/3FRP+xEcNaz6n14WgS++ssE+TKDFw8Zom4ELQUpxAyq/l0Q8IwA6jwJRrCighoa6ZalT2HELnUxiUhHwd7f1fvwEKWmc/cV1I+qWEBEtQqzwBEVz/rlv/HPU4ehyOCl3RR4QmBRRPiZ40IWUVTV8O/Jy5YTpqBTUUnOd0unNIO2XONFnWc8ox5DF1FpDeCdK08zgX5GOvM/Td9n8IRag9AsOZ4xpdOLXWScmMC+n7btMQFg5RexW502nLawtU2/W9T7srKmRBLFvCX6ntD1wcJ35WOInMf0msbTZaJdCIQGP3FwUoc1g843ovmvikIbjYnhbf9Fvp8OJ92t3oenJ+ETHxR8rtRhwut+EYWeQREh6Qa/o5DB6qRF4ii27fxMYSrUBwVCdAya/myLKLWKelp53tptS7xtVfqnCNYmb+Ns8T7tzondqoShln2ifj3VhFanPf9xnUWMLqJWhOy7RYXURGzkRITp50iF1Ci27bPyjycXx0Xj5PuKWjGaqtMnAnpuPJEjuqg36elb0NDfqOh3zDj+ssSeS2GCOiN52GYq0BrbZAkH6kC/s8q5WVBnTRfTvBr2/Ai/QQs1G3Rr+EXdZiiykiVZpI4aMlGIotnCPhNeOj51XOp0TeA5Wdi4vK4ijJQUch4cZymb32mUNUiPPMe6SKSuz99jtzKROuaEVzmIRb3ao4I5YUSvs+rr2K1O5wzV/9L2bPUYqhr9KIIBXST6QQxRhxFGz5H8x2lGDs/gp+UXOgYqzyGks45XKf1Tlf6wqMowAH4WLA1EiaLzVOyPlxlKf4M62U5FmEJ8xXYkBeaxFqVS9r8tdltJkdamg6y3K0sR/EUhKCSq+TJB1JapQnVvmyeuQ+ugRItKlaCTzkWbtUJSqaLa9pOmrehE6X+2/YQpHYbGbkUtfthrH9KI9tIWZYxficMjmAbHaNyL/7gNvH6/NMokUuilbYp2ROAdt4G+DzzBPLrQsBX1iRKRMUL7g/OElqgTIIrvcGGGpof+JhEpAoDuV/Eflxk6gJ6xJ2pFFiVswdpGkOJJnRG80gP6OxV9L+gCkjff6ET4ZYJpuujW8IsEzyi8awRr6yaL1FFHKS/Cr/reAPadDChrf4rdrvgi/jmdyCeF12KQCcqqsmzYd4r3fs57I/58grDvjChDiTmRaGaFKcwAT1T6OoN9x+sJaqgZNDvIFNZBhZcCz2BRd5W424Db7c+DQXVdTGFzl+j3QOeutRy9IxoQ0TFQ10+Lf6xhN/VxKr2nKBF1/wA8O4FXykHnRJHBT9eCvMAdE2EuATiD3+FnkSINaWZej1DbFFzKgNvCj2HbRo6is0Dl1b1Tp4do0dfaMnWWwmobVejU7/IEAqnBJ7qAiNT9TWDpg6oUadvvFp38RerIKhVWlk1Rs6V8PxE7V6jPgXqUaX/2goQKF1EVesbi97xtVeu0gkBklNGo0rrJ8c9vWeBti4S8igtUXJEn9phGSkxE/dSpKv4Bzu9Up5vCGaQdlKgNaFiYc1Bn4cor2aLGsSjbgRq5vDZdOhF+WhbAg0VHZWU+sgg/fX/LamQa8ITEftYooaIG9HqOUGiH82K3rCSQh64B0W2Yeh+e6vbWxd62TF+CPcf77vyoWcfOsgN49fomorT7BCK5bE62VYsHPHE4maaAbftaCsssYdmKiSAzTyhRFtHesSx2y7ue0bVBFEEinVpvlqVKyTrmzV06Yyx9P/4xKhqp0xWK58jbrbFWpI6HRM3jDNl7wQJvLAhIof+/yMlHSxJ569/dvylPr7jgDH6HH9vUdBt0e43K0BF440EnsBYchf4gvFSgH+5VH9dxqPYpCYmy9Rsvq4JG9UUG//EW/U1NoKntotp3FToZDjSdnsfqb2K3ooWYCpomKjof2qvXVvhMF1HqHm19Ne/N+Ofnk64Lpq0moyKdtG8UGVX0u7uS04mDCuDpCHklAhpNrqpRrmILNfh4NdV7yMJG9L2j2Se2ei1VSSqzqpd9WFR1sgC/bn3ua+rj6CK0BictVifC346kIPN0AFhEWZZFI6vhp8Zc68HiMRhN+6v34UEX/zzBOTbXyQwyVU1wkzynuq2TnL62zIBolFeexpufdfrOU9ZynIw6UMcw9/k842ZNiEgyY9U34ud0xYJPkThCmAK6qtuQzNBmz7EsQAr93ezfIH8NEdRIts2EpOg4r9pwfo/biFNKJwuFlyE6WUOricIrO/lOQ/iQ6hSE6RahQz2JWCPLruKVUNL1nI7tMvOF+MfCtKQsYjiD3+FHlCKZCGQTHqvB5hlophdlHlsXeds6vYO/uyv+MR1PMfWu2npJy2o6YUQ1YRReOj1dKIlKEOiiVtWT2QbaZqm9paCRquYM8DsTeAvwsCwa721XFdRw0syQ1ZLFmAxdLQJRiQY14nmLdNu2hjyaazjUeNCMFdGCkxoRvIUcdVyIjIDKCkNEB+pIC36vaFQ81dJBaXoOvN7urE0XIG73SOsdbWu16XeL5yiNEh2nBE9pWqenPf0/eItmnQg/fQ95ejPsc5r9ingMWYSfjq+z4I1CHZ43p8zKa0Eq6xuvMpI25enY2DpBqxMnpszgZ9FNXtaGqUaRSoldBD0/2+sQy0ZTIfufWFRcRRSZAKc/In6OrelYFiCFfsdt3yv6nY1CmK3P9ep9fn4u/jE6H+pE+OtwWubxyotk2ApC06y6ROt29Lja7jhZKQAP3hwcRalREcEZ/A4/9KJsa6Dqeo1lBj+rXeMJcdHJx1ZEkBo0OgslXjqRzqKRXmgO7xXvJ4vODHpQ/Bzt+WtbO0sNJZEQF43882rsmQGqE2XiQYVo6gqEAwGvXzVPgI3Vospoeaq3nYiLGM/QCkIFpXjphzroetxFolCUrZJFugyZOBKNrLOImim0C4Kw3pF8L3mdJOiCViQ+SNM9aSTIBJppFDQCaPp435vsxqe/OVE0RJWJQTVJRO8nHYOnbq8DLQFJdCqorcGlIwxKmfRA/GM6EX76nsu6ekjb8klq+H0K0xoGxFecrjeqFndBZEr2myVzsCrCzxDpBwGekdudYyCw90KVRcOc3hM57UZ11MIBb53EM4RF2i0Ummkh++xlPdKZ8F/ttvLXkn0vdI1fWhoVRFUmx6At60yg1zpZRwIWuFGKzEaQsaazxqVZdAzqlC3DKa8J0rhP/GOyNos8dLQ9eNDuHYmI8NOsTlsnzPSnzfbnOW4TLbpaiHAGv8MPjUrKDFQZukqXfW8UPyfrf0xRCbSI8NW1WV4AdISKKpL6IVkq2R/TxM/JvOs0zbOBRkshHjLlZoZKtIk9xqutZMgyFZgYE6BXprHs4/jHVmjUENIU2z2S2i3bunVTB5SqtZ/4hcRP0Yta779Zjq8BVSrOCixaqehf50Cva12mPu5t2zr2qMNQ5My6+N/eto7SOY/TSDup4O/8yH5vu6bm4jgIjUzY9qHmpTMGofPVL5YqzFQkSec3aQp1InTWaMvKo9kAs/3TOVkCLKot+w3TuUwnA4mHLMJPs61s1cdZJK/HcL39dTVlguhm0sh+g+xceRlIvMW8KWw9oZqzmMOI5zRmHW1EwpiAf53FWxcwTQeZ4B4z/FTaPb2uFT/HSzvnIXMayAISFN1sgiD0PZatcZgThZeirTuGDDoH65S58bJp6G9Up5PE1EfjH6P6OzpMkWRWyKDnmohuQmkkw8Y2+KITdKPwyoVUbbuLEc7gd/ihEX7TdBmGLCWPLtaiaBcjUmNXHke8zTwhoyC8iHKnC2K3stR+qoYuu2jKnCT0wiGLmNku+Hj9iIPQc9ctMQiSKYmeUseFrN0XTf23gZaIyD53Xi2hDgXVtpKmuB8L1E7SBWQiBffo/8qUqfPPgbbIknzvB4zytoPpmjTzxraNnA40QmWrvkwX8LRcCPCLVNoqH9NFSSJV8Olvz9Y5QaGtS6OCpsXa9jNnUS+dDBiAH9FjRievzzWDRq5k85+slE5Ww79lvrdtO/f8nCfE+/tP8v0Y25aKnxO1XAX8EX6ZASG7js3Nm2dYD3AKcxqncVL1ddk0J3ar6kvPzpEXbZ3+ZOxWplHkc6Bz3gsWkJCVbm2cJT9HhszRJKudpsi0b2SRe9+cLjGSZZ+5LwNR8n7MfV383JrvvG3Z9UgW7VW1OtVB1n5ZFxYAqqvoihAW6tSQdZyQ/eZtXssE3c47LOtH1BWjhOAM/pKIqEc54L84yLxnFSSGtmzxkkEibraiULopSrLJYBdxZsiMbZYCznNOsOiKzACuTbIAZLXvOmmAQLziLl042bbw0emPS9NW6SIzKgpqIqaf9RKOAi5jA0eJWgdZayseNKJqQntSvxnsakB1CnTTaG2g0aE1gSyRXSu9bVnJDI3AB/UlZBkYUVKZGH3BussMEkmU9YBuQlIvaYcDAFhC7teWZAV1usjbDpYWLCXtSRP5mVJMv8s8dI2SIG0kUSw6B9qKzP5wX+xWp/8zYG9M09IBWQrvCZIorCzCTx/TWjRz9mGOBF1Dmbf4Z63Z+t8iPo46u2TOD1kEU6Y4P/cN8XMU1tue954zTRUqrsaDzQs6104e1MDl1RWzjD/Z2kRmuNIOGzIjmV5HZPXxMtFemVOPOn6rSZzPQ/KcJLTkjkGFEWXBAFlpRNAJK0IWvKEReV0NnSBUU8YWdo2i19hE8+un8Y+xDFeZnkHrM8TP0cCgbUp/54tjt6qsUDa36XbhKKY4g78kIlOO97XikKTZyC5EusJUMq+urH8xaw2oQuaU0C0ZYC12Jv4j/rkF/4rd7tYUsZPVwfW5QfwcvbgERbBMazh5mLbcmzRa/JysBrK35H80ramNgjkSpW7bC5Cp4itPUIwh85xTAyROJI4YqY16IWHQ6OimQOSCpoPLDNRWpB3ZHkVULVHQ6FXQeUJburWVODKpQyxo5MrKdSi+2veAYbOXdI2oZOkkSgY8DRaGzIimqviZgTmPpn9GIcClwwFLoVhqhMucC9Ke7ZIaflF7RdF+tuUgKtgcJLumVyHBBFm5oE6rRR66GW4s5d62HBAAduZptfxP0oZQBl1nyTLsaGQ6iOx9ot0xZO8L/X0GSyloNqHMsSZLx6ZrSJ4xz2C/E15LQ512w4C8tl039ZtXd8+juuZ+QWw1R5JNsGQPAPbmdT+RdaqQle1S5x2vC4oO7LVVHSIcAJzBXzLRTaWXpYK1krTOoQubYAo6vV+5LoTIygKCC0ARVHQkiGntTxTIamhl50O7CAQvrjyhMlOY+FoUi2eZQFvTfuLndOtCB2q0QtRFpKIPyNtkJRKasSFzelGPdjB6QTUZEpkKL4so8tKPedBF4B9Tw51PIqCpvbrlETSF3wQqhhasC6fib4UB3VRgWVRbVn9PDdlgyjONbNlmNUWJ7veCpXrzkClv50f4Odc9ZrSqSkWYAylRvdJZRpRs4U2FIg/uFO9nW5rWT1cQM885wROfTQayrAXZOVJnbtDp6yuZkETuqYhcULyVBihkAZ4GXcXP0fWKLCouy7bT1Vg6X+LAl13rKbLAg+73RVYWoNMRimKbSRA1srW6LMOD6tfEPfen9enkE6VGTH3Na1oRxhn8JQV6AdBNlaVppID/otLpQvFxdOEavJhRj69MjE4WAdDNIIiiJRSrTzOdqHlkBGrAqPODl9bHqERq5IKpvro1x5UkE/aPeQrUut5nWQ0xq4HkQWvmgwuUlV/qvfaGmXr76SBLx2QKyAXN/o3ediVJbSSNMATf82WfRHtONugILwL+KK900ZckqJikLEIVBR0v8LbXfO9/rsUpiX1tU3RbPQUdP3TOO07iHKSptcFMM7rA1NFf4dEnL/LU9iy74ym6Dh7ZAlemLJ5fw8+5nrEIrao0gUXj9q2Lf44ZbCdqRv9l+iayuYeWvtGyI8AfXZYZlydzlPUZzHhVtatjzuWlnPmGXSdlZY9RI7s2yxzoNKMvGAigz8kcKHQtFTR2qfCqbAy6rgkGeOgYsgxEXgSZIQsUUGTp+LTkSjqGJHL/s2ZmKQtK8NZJLAil0mFhXShoBhyDfV9U3ShksOzBblfq7S/LhpT9XmVOEt33U9YNKEp0OiwVcZzBX1KghrduvTTt2wz4Iy2yVE1aOx+Mzuiqccqim7r9Z2UTEU+EjwfzotPUXgZbhHeUOD8owWgUXcjqpuPbKmdXkWRrmGopyDzYGRJRvXokRd20lyxD5jE25VDAyXKIZqZIvqdncJRzGWzRaWscUjVw3XZZrLSEoZsCqUP78+yOY7WwKmhWSWFMd6QiS7bCQrrQGtH5b/qfYxEWWW17oqFOOtvMEWroyfof0/l/c0AzxLqzBYE5DcKkdTNs1fcpMsOORfh5mW1MgVvWAUYFi37qpinzeqUzZFliNI09aPBTUUqZcblWkv7O3gPdLkE8WPcG2s0l0cicNbJuAXTNEHQ60RIjWXYQdTQFv185mtF5KpwczPCgDlPZ5yITCNWtVafGZdDxsOprvTGqEadBXKmcpmgfa2fKE3789RPxc5TF42O3vA5KbH3dc7je+fBgWjL1u+jtL1sjyhy39JoW/Ex0uzZE0X2D6ePYlgsVE5zBX1KgF4TjNFP6g/XFurWT1CMXdAzIFgsU2os9+IP/aYzeGDKjXpZeSfnte/FzLOJCDVkZ/W/z36fvp65adEbg/ZQ5Rii24nA8di4XPydbGNAau2B0vWZLvdeWpZaFhX5XUyWGgMzZxYTneLWIlCqCFEPabioKY0SKhgEbhXElPQWqBLxdvJ8MKqYnE56ygdf+qyAIRoM3sf7mEf9/JtDfrG2rRZq51VoiVEqNmeC1RrVY1oFpTvDae5pCr1Uygs4augCWpUWXkUT4oxC23J638JaV0VFkfd91e60HM9poBqJM22G35P9lXYX2hWizxVKE9/xuP4Ypi8aJn5MFAujvIljWpasoL3NWUeNXdh5UAyUoTKzrxO0nEXv88X69MahDIZhZqvs7p1kOtmsUmuEaRFfPRQYTTV4k6QKhgq3Do7i+95aI9lGHQjCIohv0kZUMNM7L3FBl4LKuHonoGlOEcAZ/SYG2FZKlkFEG3O6/T6MIsigvvYgEPZQ7V+i9dkuSyhS8gAfVvIXnQcTCojYEAC+VWtZ+ByCTUeAc6Pupm3IWnCTZRU5kQDIKql6x+zDxc7JWRLr1XLLexmGhgm2yWtQykvRbXUQiXTSamWhBMp1aWZlzp7BAI2T0c6NGhMygKgos/yx2y4v4UGRR87D8/oO3bauOTz8r3XMNli3Z1ngnCl7LPh4znvbf92V4Sf4nWQ2/Ls1PFj/HFKyDZSRBegyP3dJuEkFkit2UoMHv608umfdkbVlZppMqcnhKngEpM3YXviMfI0qCZRa+zguSJTp9z4IaQLrCxjTrIphVRNcrsuwmqtMRzCbQbZsWhXOb6hHodt8IQrNcghmALfMyOmVrX8ArzaomKTGIApWQKF3/ighmB+pChYFlTvG6Ei0W3c4nsrXx5rn8sR1cnMFfUviW9LuWtTYBPA9lcGKjEekWkgUE9bQGxXl0vaQ0ZXT/Br1jgshq3KKE1l3zYOUAQU++TxRHM6U/mGLN6u9lKs+Av9VR0PnB6rh063KD0PFkmQpRlBXQC3lYJ06wznw/uYDWbiM+roxEi4Bha6xTEUbdMcpJeiTLoL8PmkVDMxj+Ugj0AFSc97K3vYUIT9FU0NYSkdHiBM2uEgmB6jp8g9Cooa3Ti6b46hLM/FBlzzCqayg/R9EOVKZnI4O2PZQ5MWQ1/LqlaWxul5Xo7FI449PyPgdZW1ZqdMkIfqb0ei8rF9EVi5TBjFBZZkYUTqUakjR1GfS9kSnPUyM8+Hs8YCEcGoyCzws6AATQdPygEac719DuNrqizEGoU0umiSGDGsn7AwY1c36r1h3sum3b2QMATvg/+2MZpz2g3kdXayeIrOSRQte1wWykep30xtBJw9dtuyhDJjBbTHAGf0lB1is+CPOQT3vC//iqr7xt2YJPdiGqr/kjpx5f23Zd1KAJKtDqohOFKq9pcAUXqj6DX/FTZAupYB2crmAUVakNlkgwsbQtlu8RnWx1F0qzX1bvw4MawaIUcJl4DyUYxaftkcpKvPhtSHu2YAoj41zF/yeKOFOHhm7NeLDMQ5ee15AxiDFHDbso6pNtoIuqvgr1bfrdptk29PfV5YpozisMslToqGhAUihFvw/b+mS6mLetk7ZJt/7tB/U+POp2ED/H6k7PeMRubPr9rN7MbgzaalHm8JXV8DNlad0SC1mGiKolGcvwCDptjpF5VHfOOhQIBLAIncpArCf5THVh391jkiwu2xa3FN3rUBBq5Ov+zoLOrSiy0HQda/S1ghmIwSi5CCraF7wut9Wcr+gaKlhv3+fvsdsmCgHAMmR9sX+z/znWZUnVenfDDPFzrASz6QD5GMx50VgS3e4myaYE9ASdeyrEidl3OHj9pPOf7LdC14P5ZWl56M4V9HqVncBIftsk6uMUEM7gLylEUfdoUy8YvPDYnEfQm8haAjY6QX6cjnGoSnvSSYs64zH1PjxMsg5YGcMPmvVsQaiyssjzbFtDTdPxdQ3+PxVZESJqkQwRUWpdz5F2Y+vWG1YmWQzLBCKKqloxUQpjFJ5qXahQGK0nnvOqt53IzBgZdMGm6jtPozlUI+TXz7xtWUeQRGKj0xGG/rd625sX8PdRGTPUoUWJIs3Zpo2orQCmLDrKHMC2mTg0+lfGcgxq2Mg+E1rDH4wu7szLYgka0EGYkJhsjjtxlPg5QOz89kWkNbOugin9zLhKV5SeyeqFWRmgyrnHnOSyTIWg3o4NJ96ht18w7Z1eQ3XLXoKGtay0TkQwe8JGpDSosfPd3XrHyUqE2JrRxGHKvu+Mua/HbnXLQQHgwBb9fSnBzADK+jxngOq9ZQ6wzXPF+xyvcPJRAWARKiOXXQuCHRxoCr0s4EWdMMGMM5rhJIN+N/60cBgDwCV5Ioiyc5UJpxYTnMFfUjCJcDNl+g7n+x//Y7r56wajLLoCLJRgmhhT6lVFpOmFU5ThoPJA97tZ/Bz733TVjYPYLDaDqftU60AGbV8V9FyHhUYhdP8nW0V2miYpEn1hrW9MEaVAB6HfJZG4n6xbAeC/YCbSay2DGqAL/+1t0+9HWFVb23ZytL2XKnpJszHo+1qFOOtUCyxqVKZLWoLKoNkQaXm/U6qd0fdGu3EpsogP4Hd+0G4NNBNF1YrJ990kDgsTPQfRecq0MUT8/qP5MQDQnLRWCypEM1RRMFGWADUGVJFxEXVIfau0Rpp9prnx8+Yvea1z1yuuzbK2r1UaxG5Vgnsn/yN2Gyz9oo4V3fk/GIGdIul8QpHpJbDfH31fecgyRljdtaxkUQV7P2Xq+JSg85u+n7oG/w/3+e8zZ7ju+gAAOgbWezKtBhFBrSCVA4dBf2eHA+V9bB4z6T4TbF/M0FX8B4ADlusk1bUfADb8LH9eJ6tpt+L9EP0WqVNO9D4x2Bo6WCNPAxOyTCpKecvyKZq9ItIAO/Np/uMMZkMEBZfpdUEVQCwGOIPfEU/TvDrQoBCcjXctiqiQsBZTEU2gi6hfP7V77SqSCD+7eOiKjwSJYoJhdYgylVvAH0GKQpmaUoG05ZGlwlNEavuqGs1qx3nbNEWMXrhsBXt+10wdpgJbVRvw96mliChTJd+dSer/Ss+BCVACfo+6TEwsCFtI0NaJuq2MgnxHeoLrlswEMemxTmsZTdtUMi59z9vekWcc0xRqW8cgbRepMiJoRGXGM2QMEgFW1bbT+lFq5Js46UTzgKzDhRBLrQ5anx9U7WaoMpKaCVJvfQtgxfmxOvtgm0322ipxL+qstRXuk0VQWYRe9V4wAyIYxaclYratK7OOqPcBPIFBIL7EgUWCVddjWZo8y35TtQKTdXHRfT/zCbyfNg7gtEAggGVjmnQbCDpdmOOklYH+yUd/8d/XLQmj89bGmfqvJyKKFqrBSD1Lw1f9T6eS2nnbDDmd667KedpA0C2AOpRUayU2/wfX8XS9oPteB7PsuuY5nqnuDA+6dhXN46pr05rv+I/T7OE6BVByl2Scwe+I57e8iMq8N/yP29S1Bdvw2aTW/vhP82OCqIT1RARTw3jopiYFWfKeeh8VbKJT1ezRxUetVvx9hjxleQ55k6ZsERREtHA1MX6XfuBtUyMzjJq1KSv+x39cJaZF6+dlKYBhUH0e1ONOBWvoxVwFNarZ+07/n6rHwQheJNZWEX5v3mJXJwJ72mhvOxhh0oUauaw/Op3/dFL6a7WOf4y2spO1fJLha3umWKA17e9tH7J0nlGDKXSHFMvFO41EiyLcKueOqA6bzrcq1W72uQdL4phWjkrcq3Qq8t8DW0EzFp0PQg0SlXHCDOVgqQR1SJj+3hm6rW2pczk4T7EUfdV1tfMl/Mfp9zSonB9E5LCmrdyCbd2CdMwTewym/q/W7BlPoe8L4NWbhxGOYwENk9T24LWXlWCYZMGEaavIEGWjynrGBwlG+FkrT1XWG50bbNciojZz9DuqEpnrfjX/cfo7VzmlWAlC0FFrI4o4N2BPMKfpcT3kx1EHnuhaomovKGo5Sh1lha37SwJwBn9JwUSBcrdAiMwqOhOAtSxhLX50EKVumwgRBrsFMKjIFQ+R149OPGUN3ltK0Bkigy1eO13sf5yloatSKekiX1Q/LqsXk/FrXvq1rGVSEHYhCQO9IB8m9WqqftLnvBD+tRlUwIoqI6t+b/QzsF0kqy5QJq2O1pDUZpNURpoBw8QfabaFjija8Zd727yohW20ZnqeA0vn/6FZBD8/G7tVRfmC0MgPM+bo91yWLcQ4zKm7pNFPVd2mCGpEqBZrdC5ZYtnredBD3rZtr+fWZ8Ru+9xgdzw1xEUiodTxxkNkYPvKxRS/daaJQUUkAa/DioqUFO9/CRoQ7DunKp1hSupVA7W49Pcma68FeAvvoPgWi7qlVrb/rbbJqyVWOcWok1KU3q/SGhJd8+nvXTW3in7LtCxMVSLG3s+gQb3BIsItKz20hbVsE60HdWAZBsEacBmzXvTfZ5k6sg4TQYKtGVlpg4n6ffBzYY4uVWtUne4gpyhKW0W/Z2qsB0tuZVAnNo1qq7JM6wg6Wew1yBxhBN83pn8UdAQEodcjkVNS1eWq9SD+4xtn6Y9RDHAGf0lBN2UOAOpqettt+Pm52O26qeHHOkez1ywQL0jHDLKTFKIydMKjUTLqvS8Iz+CqvAU768edf055EX4TPQBRz9IsRVqUyFAQRbltMOldS0V8aGoaU8IVsfJLs3PShRqWqpQ8GrVePN7u9UTiaoyTNQWTwkAXUMygmUkcKjq/Ddpnd/nn0ZyXKXQBz2rGNxNRr8GPm41hy4Vve9tMdGnOa95jtiJz9DeqKruhr2GrkF+J1IObOk4YrG2TbYYA/T9oXS3NQFEteGm0jv4fzJjjZWToolL75p1H0OBnkUDVXMDei7SgEUPeW1l9PABMzevaE8yKYNkTKoeBDOY0aNhdvh91pNoq6YvqgGm6sCqrSJjWnauxTx7sWh4ssTPpKc7EeFVZJsmCaUyYZI0FO9iwsrBmJ8btqs26ybHbTEXNOsW2tzstGWEtmYOosgREcxc11k0y36gTfjtxhlQRlCQymLOVtjwE7DtQ8BCl6TOoE3HRu/x9VN2/RL9F2qkjis4chRxn8DviOSmvflbVOiQMtin2FJM2ckGlf+YAUaV0UtEcqmFAJ2FVDZIIkwwFEWzhadKGZ9KD/MdVRuoFAk9s6JRdwmBN8SbAr7JMFWlVF0KVUI0ttI5MlWVAI8qLOVFUnSiBqD6T1aPbiheaQFNx2cKVaiHoZBlQVW1b50cioIs121R6U+h8w6KvVH9E1bFAhEl2Fq2ntRXXpAaIrfiVKKrN5s3TFdkjdD6jnx+NvKrmLloWQI/LNph3RZ1eTBzrLIsg+F6wVrmqUij6+dOsBerEUH3Hg4KxjJkvyo/TgWlMqGqK6fdflFlxqiJ6SrMIaMSQGniqjAmRc4++n7SjjAkmavQsSzDYQpllTdHuPEUFUVeOKK4Nvwi66kQJvfbPfpW/zx+KgBc1Pnet9rZp1oHKQBVpVVDhQtUYbA4O6mLQEsqChGZJ0fK/1oPlx9HfFP3NU12dKHQfCjnO4HfEw6JyQfEUVo9VWLzJqlZEOoi8/Qy6AKdGJU0brKm4sIui1ky1WyVUJ8OmvZQosqT6P0QqzlGojzNMvOq0ZzM1ilQT9wBF+ylbNhEDUaVIqzpHHYcYja6zi1/WMc9QtC01iRIdwT1qNBVkW0IVVHFaJN4WOeR7seqb+Kdt9QwKGmoQUa0NE1gmQtBBx6J0Jp1ndpNFMzXyVdElmopM580sg8yqM/KcmME6ZtYtQSdaxn4johKDXxRCrNQQpc5vtp1Syu/o4UFLbygmmQoiJj8cu922WL4fNVCC1wp2HVVlCdCoJm0pS8dTOXJEEUNmTKSUVs/xp+U53oPiokw02aQMMxi4YIZhDQ3HsQjmkGJdmwoKkQZDFEamTe15kJPukj9PDW2Rw1ull0G/5/T3RUvEVHMP/Z6LMpx02wMGHRQm5ahMS2jA7fznRfoiPKjtQR3yKscF/T+pgF85xTqtmOEMfkc8ohoyZhyrRDYKClt1fIoo5YqRStS7qUI2XUDKVH8BsXAOcxpQ5XkRbc/mP84mb5XHWAS98Kh694oyKpgRYqLmS6GLURPBNNryxyjbgyzsbNONeayYEN1YOnQc6m2z7+MyEsEoDAa/DoXVs840CYCCO0ea6sl6Rxd1qLaFCUxQiWmEBNlhIPBJo4P0ulFRkTFRqoy3v22Enzm9gi3WmGOuniIdFQCO5qU1UwFHimrBS6PaPuM/by7UqV8VdSSxVSIPy6Jx/vvMeWFSf0/FHG1r+Olx7HuhciQBXglFUKOIrbPCiM+yYM2sl+zHqJrXpamNInqqQ+02+vuKsjxU6ywdovhfVMLT9FpxdD9/H1VAgBq21ElB5yDVNakcKdGha4Gg6KYMUXerE+/kP86D6YcExa1ZppbO/Megczd1Yph8N+h1o7hcYzVxBn9Jgf1QdNJ8ty/lP856h1KhC1uGPBl+DFXdog6qujDqyfcJnxioXosi+MxLqhKBAbwLlai/9V5LYSzay1Xl/Ral936fVyu+dpLdOdCFja2RKrqwcl+PXDRt28bx2KtQdlZBI4/1NbI+6P4sTY9mvZhEiIo6NAqVcTCaMpOMCERKTaFRVttU+MKGrRjo6m/lz+t0PeBBe9aXU9StiwTz2LVAxyhjYqZBIbHJecKGopZRFBbB/eom/vOqfu1UfJYaqMyRoBOlpxlVFJt+7VEw/y3/feb0VGWJ0age1fah12FVMIGq9FM9n2UG7X+ZMRXsDZ/fTjPCUjkZotJCdj1fJnC4mdA4giyBYDcDG5gQaBh4mVciROLELLtHBHXgrSavV0+z530Quj5ijhwdRJkskzQFRwFv3ls3xf+4TaYWbT9NM5VUDsvy1b1t+v+vNvgsiwHO4C8pMEOf1suK6H9rQk8FgHoxJyKDCAM16y/eTwYV31MZ/NQApcJXJgJdUfRZZ5OiaPGsEuISQSMRKi+prVaBCpqmqhKziQJqVEXReYIRNrWVppfqLEyoo4nV8tJeykVVhMYmYliHRJA2zgF2EWXprorFVaLgtRgsqlAjUVU7HxUq598plu1aTdJRAS91loqafnNb7HbbEvXxNqrrIkQR/jMU2ielSntGLF0oB/try6BGLnWoscy3MJo/rGY+KNhmg6osiGo7UIOfZqKonPjUEKJihXvXqs+PEezakCxUQnZ71sif14FmS9nSyKClHiVd8JuxxUQvieLr7GRQmkU1fpg+gI7GD4VqCexcKd4vSK9rzV7HBp1ACcu4YeKLgN+IV5U30DUfzQZVZXgVM5zBX1IwEXczSbGxRWdRz6ttpP1xbdto0PpoUZoiD1qLahI9bXeO/r4iRH1lGSZCPxSTftn0exGlUB/tIKHbjzkMzYiKP09cr6AE2oLsXO5t6zg+aIST13kgbBp6skp3aBphH019CFpfvOY7YDrJILJdKIaFRi7qWkZmbIhCDDQIna9FPchNCNYt8+C1UqXO2oo145/XIVsRAQ7ComP7BaVZKgpC80ZHB4Cl8tJMLROHJ/3caWbDljwDO6j5YwJLkzbJ2hOJHpqk96YRg98k1dmn7UNS0IPiwFIKIII/+An1PgWBSsRWBA0GUA0lE3xZbxHU8JuMQXWPaKcCk+8o1WdgEWlT0Ws6xlID5wstbYmy/JGiE5hgWTu0BJcFOQC14DSFzuO8NrjFGGfwlxTy+7VrTFZ0MqLCVYyB94U/H50fOW+BFYWhSaN/Jm2VaM/iHxVKwBQqSkLPnxnpql7QgHrRWEkgqKeiLNEoUCmA08+MpsIfl2dQ2RqI7KJeUAIqlYmhzOuVrEqPTRTU8yxSKqZEUVce/F9pFDNZgja0L28tRb0ko2FXb3vRu34HiK7DrRwRGKTtekygv+V/E02LYFujRNKFOD+iqq+mCu20dtIEehwTgJXR7a/xj9EsGNtuG7aL/u8sU4o7X+JtR5n1Qa8lwbazMljbSUDdwpRCU/qpo2Dua/H7mrKPlaQZXN97CXqqmzi/00hU38QxSMVIqWPKxLkv0uWJAiZcyOqnZbQS9ChndOX8Dk3Rac9aI+9caWDBp7dj2SaPzhkmTh0RJlFv6uilvxnb7LtgGYsutmsa6mShpStR0uF8u+Ns2yuz0uQSiDP4SwrMy1lGQ1U4RZD+wtCpOVdhexGhE6VtvTf1wptMvHQhsVfQEo0HTTeibVUO5QkG6UT/anMcE9TjapsKSb3fqveC/h/riEggEx1iPaFNYRH+guz+wBavvBpc217nYVn7k7dNHTGJhL7nGYe87yQA9L8lfn8VURg0tNa521V6x8jer8qatd5UiT/YG1sXkZjRCSPtxrOBOmyDi2TbTAOalk4NWBOoA1cnwtXrOm+bfa/ogt120VzHMhuKRoNZBo6Ow1hHxMsG+l6I1Pt50Gs6yxLS+V7QaKWqfZ4pTHR27lj1viydnjo86LzTtJ/+61LRPoaOfgqdb+icyZxJx2k4D07M6xZTIZCp0utvsVud8ksR+d0ONJzCqk4qdM1iS1eN/4W1PaaZbnT+YiKHptA1jqgmXQXVb6qqIbLMoMYlXVebZDxEIU69/HPLA8lvTFROZDUsGVfnt8IjjKhlCcUZ/CUFJgCVJRBeo9AfI518GbyLZBBeCzf62o1OUI/BhVzAqGq+CbT+yWQybSIQzFPhS4siFzDm8f3lv+oxeGUWNKpjm97KhKN0oIawT8Aqzwuso3jKS+Vli1VbHQIb8oW4OBH+gjTOKFQMs6BU4c8n0bnda/zCOiKRLhk7iBJvT4P3UWSw6zgogWgUnAc96G2zGm1TRM6iWq3sxrNJY+1+tbe9drL/uXaWUcUF//K2befdDeT7rdPqi87NTEiWdiOxLT2bp2FU8qAaHXvyarV1jEvaHitKQ5leS0y+//R9ZdFPGgUVQZXFbVviqgwuHaFM9tpMLBawfy/oNZRd03Qcz3R+pushpvNjIkQWbKnHRBx51yZTgkJpPOh8wcPG8Ruk4wV2x9Gghs6asSlH14nOobZtTWkmiG15Av3upxo49Klj7wRBVkuioOcc5ZpkDwmY6WR/8K4XttfUEowz+EsC1IDXUX6mbeJ4F3ZRb1EKL1WQjqUjcMZrf0LbK9mSP4GmmE1i9LV1ogAMKhjCSynT8aDTaBZznNB0XZ1+5zxM+p77IoeW9Vy8BV9+hL8AVeWZs4UtMGm6nc6FpIZGqmRRgIpPbpzlzzLQ/U4xwS0AeGugt12jmf55DDJwPCUKkTGiUx+dP4Ygm8B2sUQV3HXTr+sTQ3jDTK/NF2CXzp6VEd9SyYY0Ms/pROdpNJylfNOFdxT1uCZQ0VKmvK9zPaIR3H3rozsfauSaqKC3JqUm3+aVKeiUBFBn1iHiuKjWWP+1bSOsPOj/T4XndAwIRhopVTEx+Cl0XSNqY8aDCvzRDAW2RtNp89r+PP3XEyEq+2GCZlU0dI6ogBqDrjttv/c+JXYNc4XnFGDtjwG9eZiXSeDLlLIsK6WlNLawdUeni8OPpUMDomekUw6sC9Vt0gm6BTucAEDHC2O3pqWHJmW8xQxn8JcE6IRumha1n+Mg0GntR9Nj2cTv88JrXJTrtIt/jAqf2LLo3bwNw4mbpj3yBKVEqMQFdeq1qbHNtASo88Bk0WULvVhS5VgTaJouwzTCH4UQETP0fxoTu6VRAJ0LEI162KaxU6G5ZEGF/2Y+D6z62rtfXfM7dfxl/Me7/kX/PBolSSCQIpobB9xesOdB+epmb/sCi/rN5Z/7NUuaD9Q7jnaJiKKECwAWvutt6yy86XzLIqdzIqgXt8X22kOzVEwMQhX0emrSonA+ydZQKbRT6GdGjVxWg9tX0DKQojIeT7pL/3woa773tk0MfhpdZ2nbpqnLttkO9DxzLR3oqiwAqm0igrUzDMLWjTqGHq/VG/1+2jrnROcmgtcGb8HbZmPw1lI+7ShL5y3NkrLlx7zOJMs/Cz+WKTrZIjx42XvZhg4UXvr+D/fGbk1bK0fZmamI4Qz+kgD1kuoYlxReRoBpdJ6JK/kWeRqTJm13k+80MDSueMI4ti0Bab/cdI6YoQhqOPkWE3nvQY/h6jEadIl/bMG/ve0olLNN4LUH1NERoOfJhNFMI/yZloJqPFjk0tQZRRdBJt8FCo3EJquFG/08dNJ6eYjSxE3SJ5PVEYAiUvplAlgFxfmC0pjyhpEMIPbdpBEu3jzCo/253nZU6symCzOaBcAW8lHWkSaD4y+Nf8y0xRYj23DOYoRR02fQ0gTWvUZHOVzUzpZFZm1/a7TzgMl7QfkuT3+DXud1MHH+U6iTxlaQrolCN0dnvUezQ+h3ijnFdcqqeI4c02sqj18MtVR4WaGm8Bzd1NmnEjcWka1RTluYoQr5JnTjtMWlDqCCFkm2Xa8VA5zBXxKgKZ2mkxWL8NMLgU4tFa1zYt5rqnzNE6ELQntksmh2B8MUNl7qvY6OQaKY9RK5k+fE0PF+1ycLddaa0FQd2baNoS5122ucA7nwszQt0wg//T5HBf2+6jhParX0toMCbzVbQgua8s5qlIsiIkPUVlSzsKFrJEdFDYEBaFt/Ov0pb1u3vpmmjP5g2ZUlSuHJFgXY5cAE3T7OLGuIF4k/4xH18TxnKo242Qp76WTr8aDde5ijkGYHiRBF+Fk02cQwrEZKbehxtnoetmVxVLSva55xo/O9oIY2z+DXaUnKqyenDjqdaz5Nx2fBIdq7XkfEltfemGaW0rIvE0wzYnhZoabwIvw0SKSTndSdIzbb7ET7cyoM8FpO6uio8Na3NLNGZ/1b0NoFxRRn8JcEaJqTqaeV1SpS771OWQD15LM6OSrqpjNp0nYd7CJmKrhEJxOWJUBrGAsalppEHSg6kVXads82osC7KEeJTlmBT4sgL1OERf50a8Ro+6Rgm8bOnAiaDmvIBV3HUKUdCYKLNd3vV8vTvO0fH9A7RoZtK7nCyukahhCl9eD4x2wVgCmm9fdBgaGunAiHyfFRomsM0Tpmk5ZvFNNsMhk6xiQPk1R3G3SjdkwHgmfY6Yiz8dqr0RpwW40I9vvglVrJsE1jr0Jq+KlhyhyeOsrbrI0cvZaYtOITwdTxRSVKIuj1mImxtddozycS82WG4XEa2Q683/OOX71tnf7kVLOJBVaouryWwc9RrqcZPbZRXNPfL81MsoUX4TedA3klj8y5VpDZbGwOTpTAnY6TjGbtsPXa9KfNXieKThGO5Bv8r732Gpo1a4by5cujd+/emD9/vnT/Tz/9FO3atUP58uXRuXNnfPfdd77nJ0yYgDPOOAO1atVCSkoKli5dGjfG0aNHceONN6JWrVqoXLkyLrroIuzcaXkBKwpQb7ztwoAa/LXbqPenrY/YwuSQYSoN7Q/LugWYpnTSCYktMFZ+YTZGl7xa5Cg8tGxxRxeKpmq8JkJ7FB3xnTDoGBO+VPi8tFCWSvn7D3qvQw3lYBrpn5biQLTNoA70dxTsB67rVKMLVts0WxrBoanb575sN15hwrQt1Umclnis9VVB8pdAxsfgR82O1+1MkEh0BLJU0H7Ve9aK90skUYrE8dAVUmStS3klcjpdb2zL0FQseS92u4PTjUeGrZ5BZRII4Bn3f0xTj8GERVmmG+BlEZoIhQZhRnewTZ4KKkDG+qQvGqc+jl4nDhAxSpM+4dSQY8YUdcboRPhplgDrpEG7M+lEYOnagpWn0ei8ztqAl41pmtEp6p5gAl0zsms7Ew0Nw/w8LQHb9RvlhGvV+wBeZkUUju+VX8U/puO8oM4stm1a3kV1aBzWJNXg//jjjzFq1Cg8+OCDWLx4Mbp06YLBgwdj1y6+YTh79mxcccUVGDlyJJYsWYKhQ4di6NChWL7cm5zS09MxYMAAPPXUU9wxAOD222/H119/jU8//RTTp0/Htm3bcOGFF0b+/xUaVn8TfgwqilPPsJczE8ngKdTLoBfEVZzJRgeaJWArjMPq1U0uxCLYApGmR/EEb2T8/Kzdayeizp9G2HXUzGnEwVYMjF7Uty72P2eb9vyHocFP+fk5f59eHU0GwL6ukUL7G39HDF6qrltUuPhd/32R4r0IXqmRjnOSMjwCw6piTaAs+R4WdI1iYYGWQmxbLN4vkdBWqkGdjPoR/EZMDYFv8gQg6byp07GAl0mgqt8OwlqW9b7Be4wZh5tmm41Fz4elhJ+h4diimX+ZR+KfN1XIZ7BrCXOs2MD+J53PIwrodYyXwaKT1ULnPJZCT8s7dAxtus8vH8ZuqbCZqWhffgtoEsjQCTQ1HRD/mKlQHA0q7V5jdiyDXjPY/9BOI2ODwvse747QaNUVImTOGp7ulu46hcEz0nWEeX3tnPPOw7S1oakSvyklpMVfUg3+559/Htdeey1GjBiBDh06YOzYsahYsSLeeecd7v4vvfQShgwZgrvuugvt27fHI488gu7du+PVV1/N32fYsGEYPXo0Bg0axB3jwIED+Pe//43nn38ep556Knr06IF3330Xs2fPxty5HCGy4gBtZWSLqbo/ZUteT9p6Hc2OoxPFZnnmhxBaR2rrJYzCu8tgF1Ka0m/aT9o2anVkv7fNFpxMUMU07ZhB+6m2Pcvs2F9tlWYlXnxTp1JUbFvibevqZETR1/Y00jt+ywJvu34B151XFohxmdAppNOV937qaIVQmgT6qp/xmN25/HMb8MAe4MH9dscXVnTSe/MhnwfrhlHQ0G4xwXR62+4L1JARCVaKYPM/TWfXiSjLrr+61w+2+OcpmYeBdVPQKemqSErTqJOUQbVRTJj5ot1xlHxV+iRk2PAMsmDmGPc44nhhxjF17OtE56njmTlhaOsyHacBdeSwEkXTazEtLWD/O81a06FhN2+bXg9NoCVVzHliGjQ76xm719ZFVx+FfZd5ulWmWT2MjIPeto52CHM0Al6gq9tfzV6zFcnqjEqDi87BUZSCFAGSZvAfO3YMixYt8hnmpUqVwqBBgzBnDj9dbM6cOXGG/ODBg4X781i0aBEyMzN947Rr1w5NmjQxGqfEYVuzB3g/clMDj6aVshIBljrWbZjmGORiVhjSgubkOafoxchUZMjW+dKUGDNs8bvk/ditrVNoJ60XNIyMmPQ3p1CDevF//C31WlnqM+iKb4mgNXtRRO51EV1ww6Zk1+DUDMvoc4P//kX/5u+n4pwXYrd3GC70oiL4vvHEl3QpXTYapw7A1ydIBoPG6O9L56konM420JTmoMGvkz7OgyrU28431MBro/HZ8pyp25bGbndqLtyZQbgrAtFTatyz7AAdA7VCdW/7ECfl2tSBko9lb3QKM55tW8iFgRdh1HF+VCLGPaszZwaRruOCV572/V3850VUIRF+poFDjW8daEq/bceYcmTOsW0dTK/fpm0BGVGUEsnKU3Q7FbH91nAy12wzz9KInoHOmo+u15izkbYG1eGEkd62TjcQHaioJE+DohiSNIN/z549yM7ORr16/h9GvXr1sGMHv/Zmx44dRvuLxkhNTUX16tWNxsnIyEBaWprvr0TBWu9YkXfBSAshvMH6MLOLGqs9VEEnb9u2KLILp2m9H2P9dLvjAH/togm0vIFG+wH7lHZfayhDg5+X0qlDRfKe713r13UwXWQwDu9R7yODLnZ12wuKON+g+0Ki0sUbG6YLB0W/Ol1k97o9rwHGHPCLe5lAUylN0wYZ57wYuy2datcKLwranOm/P9gw0+DEO6I7F4qJCraOYFiioQZAMOKnu3AMKowzEVrAPBW0+9WxW1rOZKtSPfkhs9eWcfzlZvvzjBEdnYHUKt42y86ikTYdI7X/bfGP1ePUf5sSRUo/y2Doe5Pe/mx9wjM4eoxQH08dviyiztZqNusd5swy7VhAy69+nxS7Na1Vr8oRD+zz99itzecbdKQF51QR1Ok78wXz1wX4/zsTrzv5H3pjHJA4SZtrdi2hpbhBbNPYaVs7nXbC1GHEOiyZljfQlH72/TKlaiP/fbpurGtYplxESbpoX1HhiSeeQLVq1fL/GjfWSF8rToQRw9E1zmXYenzp5G2r2Cyr9bSNSOzfZHdcGOgET1PQw0Anc9NMhSj6oTbtB3xJFlc8NeuCYC25CIU1dBr3Ue/DiCKCzFPD73+L2RipFT3nwxmPRRfZNuXu9bFFcKU6wGjLnu09R8ScDg/sVu+bKIY87r8ftjQBMK/Z5BFFJMS2/ZkNNJ10SqDGXNchFMwMoIatbjSYOQGZ04Fez3QygmzFSHVpbihIy9Oz0TGU6fWYOe9pirDOe8Hq1mnqNaslDlOLm20YGefBjIhqjeT7Mdh3iycwp9Omls6z7Lv4m6b4LY/8TM4Q8zfrEjDDMK2dl6bOOjulW8zFNIILAL9JjF8Rv/9ofgzA/w4xHZNF4/XGkGk7Ha/ZjUiW+m/bbpbqJJg65k0Fqhm0c1KwxFZXTJuWBQD+9adpuXERJWkGf+3atVG6dOk4dfydO3eifn1+PWj9+vWN9heNcezYMezfv99onHvvvRcHDhzI/9u8maO2W5xJDxkBLQywLAFTaBpiEF0hPHYBYGqpUQgpmkIvQsEU25otLAcNYfBHwfrp/ui67kKLXiSCrf2STe0CFpDhOa1sLoD/2ACM/hPopxndSgSpFYEH/wTuWps8p0MU0N/jJZoLRAqvJZ5pFJeny1A3gj7XPUeq91GhW9ZEjdByVfwLzlP+qTdGcKFI51FdkTmm5L5rZd59ch46Ri7t2c5aVJlm4cgw7XfOw9SAYEYuVfzXcRqwfVgrPwD5Kf20BZgp7D3QKU1QYZpO/s1tsVvafkzne0HnOKaJYCtODHiOKN2UcR4Ht6n34eFrDxi4JvPKP1Qsele9jwpbEcnqTb3tzEA3Ct3/pc0Q/30aTdddswR1FKgTxFR8m0Ej4+WqiPfjYXtNpnNulcB1SfdaQNtVAsCfJMOrIJ3QSSRpBn9qaip69OiByZMn5z+Wk5ODyZMno2/fvtxj+vbt69sfACZNmiTcn0ePHj1QtmxZ3zhr1qzBpk2bpOOUK1cOVatW9f2VKI4dSvYZ+DHt0Q0Ayy1F4mStAGmavAw2QW9daHcOUUAn22D65YmclmY8qOgSAEzgpJoWNDYGMk25jFKUsSgSJnsnSBTt3BwxxhwAHtgLdBxqfizvc2iqf50EoKe6bkNry7p3ik10KrWSX6hKNxuI1klnZwF7iVCpbTaPr/REYxFMI3UZeddiZhB0GKr3mjK19WCJlw2m31Nm8NPUcx0jlwnF0uOmPRm7/fUTs3PgMe/N8GOYlhOxFoVUHd90jEkPxG55zj5TbMsfAe9zDSP0nMx1EmXgvXbH0e4gtj3kUwPRedrZSTe4Euxcw2uFaQqvtaguaZbOIDpH/vaD3+Ghu37pQhzeubn+LNeiHBwwIKmrs1GjRuHtt9/G+PHjsWrVKtxwww1IT0/HiBGx2qWrrroK997r/eBuvfVWTJw4Ec899xxWr16NMWPGYOHChbjpJm/xvm/fPixduhQrV8Y86WvWrMHSpUvz6/OrVauGkSNHYtSoUZg6dSoWLVqEESNGoG/fvujTxyCVtrjTYmCyz0DOXou+zrYK7jR1EPBHZ/ZrTn45mep9CpKgUrNuy0GZ88MGOnEH68B1OWqhp0FTcaNY7BZlkpGZ4dAjmXXwus5MU0zakNZp723T6JSOOnSQVV8FekJrRkJpdD37GNDyNPG+Ilh2BTvWtH0cdRCwY5lRphud4inBM6IQGjVNhWeGIY0S6hi5vPfOtK+3VG8mgoyvKFr72Y7BBFerGPzOooSJuoUJEi2fEM25UGyCRLalNLQ9cLCl9JAn9cZoR5Tj9/3hN9Z5LWh5BNXw6brZtDsUY9ZLdscBwLKP7Y9lbJnvX4c26y/el9L5Em97z2/Axlnhz6WIkVSD/7LLLsOzzz6L0aNHo2vXrli6dCkmTpyYL8y3adMmbN/uKUL269cPH374Id566y106dIFn332Gb744gt06uR9cb/66it069YNZ58dS1O9/PLL0a1bN4wdOzZ/nxdeeAHnnHMOLrroIpx00kmoX78+JkxIwARTpCmEHi9qHIZJW2PoLtyan+RtZ2V4tYcAULd9/P5FgWD0LhmtiAD/Aty2jspGcJBGH0zT0qLkzKejH7N+BAJWDkeZBM0JJhkltL6bGnpdDMsTGNTRp2so0/M9sAWY9oT567K5jelczH7Z7HhaVsYcJuw8FluUfAShvcdN2EsEZE1FW9l1lGrr6GQIRXGtYt1+eOhmj8gi6aZRdqbqTmuVddu7MpizZFqe/odtan1Yjh1U76MiKOhr2vKXx+415scs5LcIV0IzcoLRY109FqrhsG0psOIL777uHEodhTtX+jNIirKjn2ag6K7jqQNt/6Z4jYcSQNLzL2+66SZs3LgRGRkZmDdvHnr39urSpk2bhnHjxvn2v+SSS7BmzRpkZGRg+fLlOOss/0QwfPhw5Obmxv2NGTMmf5/y5cvjtddew759+5Ceno4JEyYY6QAUWSpp1psD/v7qUWOrbO9T87VsnUOdBtSQl0FrJXNz/BFh2cKBUs2yBZ0ONil8v3zorwmrqPmZWNf6C6Btb8oVYJkMVfP/72Xedvvz9MeIovWObVYD5dT7/ffPe9V8jAtIGuugCNW/HcnjLxGkN4els6a4lIhLSB0uTcHUnbuD0LpeXYcGjX6v/cmuxSBrnWdbVkaxyW4A5K02e//Nbkx6LTSNSOen9OctvHUFIU0FBnlUlVy3dcvbjknq3DtdqDcGa/vJujCwNY7NtbC+ZcS2MBJcf0ZRdmcj/GcLdSwGHWGb5uqNQdfJuTnAkX1kTN2MHOJsWPsTrAJ5hbG+3UY4lWYPZWeaZwUVA5Ju8DsSDDVwZSl9QQaS1iHZWeL9bGhiWEvKoGnxJ99tNwZNi9JdoNBaqlVf++vYg3VWIqJQpBdB61J12bbE74nXVYanab5Ri9017BrteDJoqjRdTMhUbYOw9m1hCHr/bUSCet/gv2/zPna5HGh3TuzzHXCb+fGOwgdtSzUqgn7St1nMM92utHtdBo3+0hZTWZY1xhvnqPcJQn+jti1Ro0hlZSz90O64YEtFGkXVvRYGnZw00mZaB8uEDFnnAl1HCi0JYUZ36zNit31u1BtD5qjXvaYff4n/PhVn0702MuOPifxt/yV2a2OMsGOLAwcCXYxsyxtoFLcgszHpbyGYgaibCUNbwlauGyhp0vyt0XXO3rXApNF6x1F44q1Rca5hphODdv7SdYDStVWl2iVSu6kQNMp1JBSaMm1Sl08jubtWRHY6AOzr2df+5G3TGikTaJuVzpeI96NQz+CK/9m1CIxCLEWErTMhjZQm6LYzoim2GRGk7tFFStTZAzaYZEvUaRv961/0L/NjaK9xkwyFIJd/YH+so3Ay5oB6HxmjVsfUy+t1BKpbtKJt1DPc61NWkLK7Wi3txqDlWDYsi0DNPiybZtsd1/4cf2sy2l5L10BtfTqw5H3vPnV+l69ud14znjXbn0Y3M9JiBjpbvOt2zQnqSFBj6qC/E5SQsoE1CDXSdduP7fktdsuE0BZYzP9RUKe9eW/0gsQ2o5PWene8IPx52JTLBdPvdTVM6Br3+3vsdLVodN629GePRSmELrssv3N03ajr/KDlQgv+bfe6RRwX4S/uUEOzo2aaGeC/kO+1jGqIsE3dpoa2qYItI4MIyeimKlHv8qGddimdiaQtp62aDtTzrOtA6XSxt22bIkcFZ1Z9bTdGotAVgAH4RseA281fsxdJp7WtVRxzALh/F3DZe+p9HQ5dSpUCulxmny5cpoJ6HxmiNpu2qsph0zgzLB0oukr6WucQcLTqZgXRaPzRA/61gW5U+/dJ/vvMeV+hpv1nYhoAoNdtFgRgYmQLNRfywQg/DYzo6gMteNt/nzpNbLuVhFHHD9J0gP6+ImNft2QxEdAsHtuMTiqqbNs1gDqDTMpi80nxt7W2ucbvWgHMfc3itSMgyrkrSLLS6pd9lJzXTTLO4C/ubF3kbZukK9OFFk19qWvQu5NemGm9eP9b9cegjoeVX3rbtoIjdHGhK/5DX2vrIjvvYBRdD2iNI3V+8Pqoi2AR7I4Xej2hAf06KGrkrpviRTlMIsu0pOO3ifrHUTpdZHecCltHEqO6hVbDWU8D/zcFuPP3cEI6up+hw1FQBA0f0zKYKNTOCwMix4UNwc4wuplGDbp625lH/calrtMgaDSxcjJaX2xKXUOxVrqOCdYy7w+kgoughmzGIb/Br5tynRFQoaddgGwN5cMh3scgG2eGH8PESLbVZhJBv1PBdsC6/PhPb9vm2gz4P5Mew82PX/A2sH66dz9Zc5pMw0PGqQ9Eex6UZAoml0CcwV/coSkzJulI9If4xzRv26QFGlUEpcalrkAc4E/Joi1FbI0bKrRjG5GwaTdDI+PWF3VyvgdIlkGLk/WHWDcldrtiglc3CHjq0SqCTqPM9Ngtq8PU4WjINGMg+sUFg9YM20A/ZxMa9dBPR3U4iipRpNUWRaqRcgjq/LYhqMWjW2JGr3cpKf4MLd0049MCi/85FgKhQTrlfSd0jWR6DQpeB3QdF1VIXfKulXbdYvoQ7ZTcXL8DpYpl3bNtG7hEobsuAPy95ynVLEqBAL9Is23bSNrZw7brCF2D2pYS0XVnsjoi2X636G8jirUb1QSzFQt1WOEM/uLO/Le8bZkyrQzao93Ew0lr5NNIixiTKGpTkmJt2ruYxzTNHqhRQ1PF6Xtx9vP6Y/Qc4W37alEtHRfUe6/r/KCLLaqpYFIb2+Nq/X1F8JwcjXrFP2ZK2L7ntmmDDkdx5cb5sdtmJ/rby5UkqpHsrEyJursNutdTnzMzJaZHYwqrR2Zlebq16jJ+zBMS072G0HZlR/f7n9PtcU4dHGUrAIcsnB90v+xj8f3WdehyhfkxiYBmf1BMIutrvuM/bi2WlyvYNuCQph5DkN7Xe9uHSTq+TeZG0/5+oU3bCH/94+2OixKTgJ8IGhyy1f1wWOEM/uJO1EqUJqnptDaZegZNJjyT9H8RtM2YbQ1mWKihTNWRTWrYmRIxABxL97ZNvPAUm0wFmqJr+92qGkF6azNOfaJJ5kiisK3ddDiKK3XaxjQmhn+TnNevaNjPPBFUIcbh1oXRjn2apvI2LSvYv9FOS4dlJ2SkxbbLW+rxUDLT1fuIYNmHtdvk3Wr2OKfp3WUrAkuJEKGu85tmZB1Lt+vzvnGW+TG61DPQ3RD1JKedPkygegZ9b7Ibgwosmxi7VCPIlnljve1fSL13WQtNko2zAi31LMv2diyzOy4sVAX/wJbw41HtENsWow4rrN7t9PQQE7SjaGNiVFEhoFkvetuVDBZgUaQ/2ajqRw0tQaBiP0ylVwdaZvEpiZLrCi5FDT330x7UPy6K8+VdKHT7JzscjpKDbop2IqGZDbkhU/oBf1mATcr07Ff8+j660I4wOZlA17+YjxElLJDArkW69fc06LDmO7HBK4NGvw/v8xuoukTd2pZCNX9U0HR8+l4E2zDqQjM/bLv5rCeZpSZGMo3ORwFda9gY/ACw27ItamGAdnBa/pndGPS3Qn97xUWjpYhgZfDXq1cP11xzDWbOjEAUxFG0MKlhqkNSuXZa9HAGgMYRpGnb1n9FCY3C057MJhkMNS1FV3znkaAouMniIoq0d16HBdMIfxRtAP9KLoAnWSoJOxyOxGHSatOEZifq70vnfxvjMkgWyRKzcWjnZPmVw3WhBnVOFvDLx+J9C4Kti/33bcr+lv7XTh2fZkik77KLLEdxTRddext00R+DGtRU98l27UTFkW31lmjtuAlRtMttc6a3HexMUdLwtbMjbSOD7QZlNO7tbdPvl0l7bVvRRRWmoqFFGCuD//3338e+fftw6qmnok2bNnjyySexbds29YGOkkUU6c0mE4KI5gYLs4KAejtbDSrY106UknuwllKGrViiCtMLwoUR9DxufTpwwZvA+a8Bp/5Tvb/D4QiHSXtZgF/+Qxegtpgo79Na1aUfeNtUo8YEKmhmEyXLzQUO7VLvF4QaqFkZwOa55mMEYVl8Ni0cc7P9UXKb8oBdK4A9v5sfRx3XB7f7I9K6RKE706int+1rDWhgrNPAw/LPve3GBk6Mdud427SE09ZpYNv+OGynHcD/PT+0w26Mcpptn02JIlARBQ276e9LnVI/G+hWUWxbFqs4cVRixi2EWFlkQ4cOxRdffIGtW7fi+uuvx4cffoimTZvinHPOwYQJE5CVZemZczgSQXMDFfuCgKq+0nr+giBRDgZbdfooMV34BiMBHc63e90ulwPdrrQ71uFwyDnzaf/97leZHX9cj/jHalqqbVPaDNHflzq/aXvZkyzLkGj008bgr9/ZrtSBtvZaMcH8eB4sut7AQpSsWiP/e1HNIgpYr5O/bZouVOB17ht2+kBUE8k284N+l6lIXWuDaz11SC0a522b6APRtczCd7xt2oZXBdX3sSk5AaKJ8Dc/KfwYtkKDKqLQ5bJt0UcxySxqR4x12xJbk5bgJpSg1oChQrB16tTBqFGjsGzZMjz//PP46aefcPHFF6Nhw4YYPXo0Dh+OWI3WYY9tH9PiQKIiysEWdTYU9OeSKIO/MAjmmVIuUFrQ6vTknIfD4RATbOVnIkYG8Od/U6cBj/bnhR/DVgSLlsg1FrRDUx1vEymkjgsqZhYFm+eZH7N1kd9QFrWGk2FbbkixKY8A/MbPkf12Y1Chwk1zyONt9McoI+l8oMvpRBx5AxEjLKvZKhEAWp5i99oUW1E8ShRrgYwIFO0TRRTtH7MNArtUtDTLMsh1/KXxj9HSCx06c8YobAHBBBLK4N+5cyeefvppdOjQAffccw8uvvhiTJ48Gc899xwmTJiAoUOHRnSaDiuoknthaf9SnIii3MC2VaItiUrpD+tUuejf0ZxHGHgXFIfDkVyoGjoAVK7D388E0+h2MMsAiKZkrbTlfLziCzKGRcr06m/8yvQ2ND8ZaHlabLuFgaHW6aJwrxuE1osnSwTMNqpMBRxtDUQqJPfnRm/bRPA4bDtawF/iYpuOP/De8OcRBVG8H4lqo3fBW+p9KLwMiwERpLFTB48KE+eTCJ5gIq89s+l5mDikijhWV6wJEybg3HPPRePGjfHhhx/i73//O7Zu3Yr3338fp5xyCoYNG4Yvv/wS06ZNi/h0HUbQ2qnefxPvJ8K0VrKg6Dky2WcQw9arn0yiqBlMBDaCR31u9LZthVdoy65EOUMcDkc4zng0dmsilCfDVDjUVq1cRTDLSMYJ/+dtLywEDtKj+4F1k2PbJhFDXSV9Xbb/krixdfltItCwu/lxDbt627YK8NTZQrMkkilWfGCz3XGJatNmIjAXFV3/Gn6M/rfFP1bFcC7izXUdIshOMmnrmah2xaaOto5DE3IaRQWrGWHEiBG4/PLLMWvWLJxwAn+h3rBhQ/zzn07EKqmUKQdc+p9YyxgbhcsGx0dXpxclA24PP8bA+8z2L1MhPhWpzw3hz6OgqVRISjs6Xuj/btVoaj7G6Q8Dc1+Lbf9tht153LEm1iaxw1C74x0OR+Lpd3PsLypMF6CJKoUySSfdnqQ+3CKoYreJOr4oCj9ojN15UKX+RBkWKkqVBbblnYeJ4U8NUZ+YI0doUgStQV7zHTmnCFLbTYii+06iMjQKWhwZiCZLgKcDkHk0/jEZfW8E1iag04DNmi1qTDuwRKHdUoSx+kZu374dFSvK65crVKiABx806M3tSAy2QmQA0PVK4KcxkZ1KZJi0gBNh2g6nYTdg02z/YzwxqKIIjZTrUKEmcGRfuNfs+pfwzqTSZYAxFkJJwTGKouPG4XAUHCaR+ESNm1ZMOiHt38h/vFpju/HKFIKUXFpWsG2xeD8Zh3Z7290MosMFbdiLiMJYr1RbvY8NUWUGmcBLHzf9rva7BZj1kv+xpv3MxqjVKv4xUx0UHkUxIzJZDsFCgtV/X6VKFezaFd/SZe/evShdupBMPo7wBCffbsPCj3n8ZebHdL7Efz+KH237c832P+OR+McSdXEywaR2UsRxhqmIQ18P/5qs9tPhcDgcaqLQLkgUJgK2VJmetpGj/blVUJVxG3V/EckqCQD8GYS0TKGkUzaK1swRqO6bZjA04RjmtCxHh/Kc1n7lDVLpAb5TMVlaF46kYmU55eby201kZGQgNdVAKMRRuAkKsfW9yXyMYFsXG2G0E641P0aFab0cr+doMrzGwf7RtAbQFlPnRxS1gdRpU8LTrBwOR4K56itvO4qSsGRgm/JeELQ7W39faggd3O5tb12oPwbVDNi1Uv84FTmWrfGiYNkn3vaxQ8k7j8KGaUSbRxQdlXpdZ7Y/L6W/kqHTLoq1Fm256CjRGH2bXn75ZQBASkoK/vWvf6FyZc9zlJ2djRkzZqBdu3bRnqEjuVRvAuzfFNu2UaI98Q7gx/u9+w04hrOK+hGkH7U6PVwdE09MJhmpdE37+4V5el4TfkwTNV8goh61AO7dEmvf09agn7XD4XCY0uLkWHu/PzcWbsNZRoMuyT4DMSaGCb2eHyUlWbY14N/eYXdcYaNuB68cIArBt+KCqRI7EAvGbPjZux+FEnvd9uHHMM2mjKKldKLaUoelrYGTkFGvM7Dz1+jOoeuV0Y1VBDAy+F944QUAsQj/2LFjfen7qampaNasGcaOHRvtGTqSy02LgLmvx9QtbSaOThf7DX4b0Tja/u7UB8yPB4BT/xnS4I9g0ux9AzDvjXBjdP0LMPN5776px5iH6f8WVe1WuSrO2Hc4HAXDJePCHd90ALBxZmzbtDVWFKQU4nJJk2sCFZmjbeR6jojufIoiO4ghU7dD8s6jsGGagQgA570MvGwRXJLR8YLwY0QVLClo6nYEdq2IdszGFh2jhr4OvBkys/ZvP3tjnPO8fN9ihpHBv359LI3qlFNOwYQJE1CjRg3FEY4iT5lUYMBt9sdH1Wd+zIFYvZ+t4c1LyS9oTr47YPBb/C/B9HfbVj5RctazyT4Dh8PhSCxXfg48ltcSy6Y07aS7gBnP2L9+oupuU6uo91FRoabdcdOf8rYr1dU/ru1ZfkX6qIiiE0RFS20fWk5QWIT4CgU266QW3vawL+xetvlJwHrS/ack171f9C/gjb7RjmmTxUL1Ou783e51GxwPPLgfyM0pcb8zqxr+qVOnOmPfoc+wL4AqDWMp3GEIG2W/dmqsa8F9SVI7DuoZ9DVUxwf8te9BMUNdTrrb7jgRPUdGO57D4XAUNsqWjzmexxywuxbx1LKNXj8C5y4vclyhevhxu1sK+lJF+zoG5aCJMPYBYONs9T4qju4PP0ai+tHLCJaMnHRXwZ8DD5uW0oD3W21pKWx84p12xxV2+t9qfkwUJRFBguthXdjnWtnAQRgkJaXEGfuAQYR/1KhReOSRR1CpUiWMGjVKuu/zz5esNAmHgpanAHcYKPAmiuO6A5f+J3mvH1wk2nY9CNuKrutfgBlPhxvj2qnA26fEIi0lvNWJw+FwKCkMbVx5ei0XRFCGWY6jJm6KSQS1XDUgI+x18K/A0g/8j+VkmY3RtD+wcZb/sZPvCXdegL+MsaDocyPwPyJM17hP+DGHWny3ul0JLHnfu5+sGvSm/ZPzukFGTATezSt9/Msn8n1FnPYgMPmh2PaJFpoXtCsG4M+g0OW8V4CvSAYNT9TQkVC03/ElS5YgMzMzf1tESmEViHA4oqT14PBj2IggRkFNMnnfIv4tSzmue3jHg8PhcJQUardO9hkAp94PfHCx/zHTdPzSqUD2Mf9jtuu+Gs09xX2TMdqcAfz6qd1rMo7sj3+MtgzUgaddEEWtdzII1pc3G2A+xoDbgZkvePdtugid9qDf4E8WpcsA3a8GFo8HRq22GyOK2vemfYEL3gQyDgJtLNedJ46KRcSrNOC3+lMR/G32vsF8jLZnA4igZMZhjbbBP3XqVO62w1FiOP814Mu8NPyL/mU3xshJwL9Pj20n0znmjHWHw+FIHsEWqzaYatPwnMymIqxVGwJ/bvA/Vs5SB4C21zOh3dnhDf7GJwBrvvU/1sIw/Xvv2vjHCoOujo24cVBvySaNu8P5foPfpEyDYauBkAjOezn2Z8vQ14G3LLoMBOlyefgxukWoSN/pQvNjKtUCqjYC0rbEhPMcBY5VLu6BAwewb9++uMf37duHtLS00CflcBRKul0JnPtyrKdz+ap2YzTuFRMMcQa3w+FwlFzOeCz8GO1MW1txnMyV65kNkb43/rGCFjRrEoGAWPer4x+rYigyzEuPTkb9fbtz/PdrNufvp0sty2yU+gEdAJugRqlSwMXvAmUrAaMKQSloGGiGw99mCHcrErQhHZUqWnTbAoBRK2JrXyq+5ygwrGamyy+/HB999FHc45988gkuvzwCT5TDUVjpcbVdX1iKK3txOByOkk2jnuHHaH2G2f6VONHTcpXNxuh9nXqfRMOrcU81/D941DWMSPParEXVmciEHsP999tYtru9fzdw6zLg5oV2x0e1tul0IfDPbbFskqLO/buBezbFiyIWNa74KFZacNNCt4YtolgZ/PPmzcMpp8SnPg0cOBDz5s0LfVIOh8PhcDgcxYqbFsVuz3kxmkVzKcPIehTp5lWPCz9GWMpyDH6eIKGMSITxojB8Ihgj6Hiw/d/KpAI1mtqfR0oKUK9zbHvgffbjFCfKpNrVzRc2UlJipQWFQYvEYYWVTGJGRgaysuLVTDMzM3HkyJHQJ+VwOBwOh8NRrKjdKtpyrmQsvgtDtwFeZxjTMjtT7QLuGBG0Kxs2AXgvpNBfFP9LVNwwM9ln4HA4OFhF+Hv16oW33nor7vGxY8eiR49CcDFwOBwOh8PhKE70vcl/v6Br54HCm5ps0188LFGk71euH34MAOh8aey2qYW6vsPhKPZYRfgfffRRDBo0CL/88gtOO+00AMDkyZOxYMEC/Pjjj5GeoMPhcDgcDkeJp/15wJxXk3sOhbV+t1LdZJ+BHVUCBr+tSv1Fb8f+HA6Hg4NVhL9///6YM2cOGjdujE8++QRff/01WrVqhWXLluHEE0+M+hwdDofD4XA4SjbHdU/2GRReSlnFr5JPxZr++/1vSc55OByOYo31DNm1a1d88MEHUZ6Lw+FwOBwOh4NH1Cn8rU6Pdrxk0jJeSLpI0uniZJ+Bw+EohmhH+NPS0nzbsj+Hw+FwOBwOR8RcNy3Wd/3erXbH37nW2778w/Dnc+G/zI9pe1b41w1iI1xXOmKxuyjGC6b4OxwORwRoR/hr1KiB7du3o27duqhevTpSOHVcubm5SElJQXZ2dqQn6XA4HA6Hw1HiadgNuDxEdmXlOsD9u2Ip8KVKhz+fjkPNj+lwPrDmOzLGheHPw4aRPwBvDYxtR9FG7sa54ceI4jNxOByOANoG/5QpU1CzZqzWaOrUqQk7IYfD4XA4HA5Hggjbxm3E98C7Z8a2bcoMarbw32+dpNKCht2AMhWArCPASXfZjfGPjcBTTYFKdeL/L13uXg+MPxcY/Ljd8Q6Hw6FA2+A/+eSTAQBZWVmYPn06rrnmGjRq1ChhJ+ZwOBwOh8PhKGQ07Qf8YwNQrprd8Y17+e8f19N8jCoNgIPb7V6fcv+OcMdXqA6MORBujIo1gRtmhRvD4XA4JBir9JcpUwbPPPMMsrKyIjmB1157Dc2aNUP58uXRu3dvzJ8/X7r/p59+inbt2qF8+fLo3LkzvvvuO9/zubm5GD16NBo0aIAKFSpg0KBB+P333337/Pbbbzj//PNRu3ZtVK1aFQMGDHBZCw6Hw+FwOBw6VKgBlLJq9BRPnTbmx5zxaDSv7XA4HCUAq9n61FNPxfTp00O/+Mcff4xRo0bhwQcfxOLFi9GlSxcMHjwYu3bt4u4/e/ZsXHHFFRg5ciSWLFmCoUOHYujQoVi+fHn+Pk8//TRefvlljB07FvPmzUOlSpUwePBgHD16NH+fc845B1lZWZgyZQoWLVqELl264JxzzsGOHSE9vQ6Hw+FwOByOxNLhfG+700XJOw+Hw+EoAqTk5ubmmh40duxYPPTQQ/jrX/+KHj16oFKlSr7nzzvvPK1xevfujRNOOAGvvvoqACAnJweNGzfGzTffjHvuuSdu/8suuwzp6en45ptv8h/r06cPunbtirFjxyI3NxcNGzbEHXfcgTvvvBMAcODAAdSrVw/jxo3D5Zdfjj179qBOnTqYMWMGTjzxRADAwYMHUbVqVUyaNAmDBg3SOve0tDRUq1YNBw4cQNWqVbWOcTgcDofD4Sjx7F4DvNYLOPt54ISRdmP8/Byw7BPgbz8DZVKjPT+Hw+EoxJjaodo1/JS///3vAIDnn38+7jldlf5jx45h0aJFuPfee/MfK1WqFAYNGoQ5c+Zwj5kzZw5GjRrle2zw4MH44osvAADr16/Hjh07fEZ7tWrV0Lt3b8yZMweXX345atWqhbZt2+I///kPunfvjnLlyuHNN99E3bp10aNHD+V5OxwOh8PhcDhCUKdt+Nr3E++I/TkcDodDipXBn5OTE/qF9+zZg+zsbNSrV8/3eL169bB69WruMTt27ODuz1Lx2a1sn5SUFPz0008YOnQoqlSpglKlSqFu3bqYOHEiatSoITzfjIwMZGRk5N9PS0vT/E8dDofD4XA4HA6Hw+EoeKxq+P/zn//4jF/GsWPH8J///Cf0SSWS3Nxc3Hjjjahbty5+/vlnzJ8/H0OHDsW5556L7dvFiq9PPPEEqlWrlv/XuHHjAjxrh8PhcDgcDofD4XA4zLAy+EeMGIEDB+JTsQ4ePIgRI0ZojVG7dm2ULl0aO3fu9D2+c+dO1K9fn3tM/fr1pfuzW9k+U6ZMwTfffIOPPvoI/fv3R/fu3fH666+jQoUKGD9+vPB87733Xhw4cCD/b/PmzVr/p8PhcDgcDofD4XA4HMnAyuDPzc1FSkpK3ONbtmxBtWp6fVlTU1PRo0cPTJ48Of+xnJwcTJ48GX379uUe07dvX9/+ADBp0qT8/Zs3b4769ev79klLS8O8efPy9zl8+DCAmF4ApVSpUtJShXLlyqFq1aq+P4fD4XA4HA6Hw+FwOAorRjX83bp1Q0pKClJSUnDaaaehTBnv8OzsbKxfvx5DhgzRHm/UqFG4+uqr0bNnT/Tq1Qsvvvgi0tPT87MErrrqKhx33HF44oknAAC33norTj75ZDz33HM4++yz8dFHH2HhwoV46623AMTq82+77TY8+uijaN26NZo3b44HHngADRs2xNChQwHEnAY1atTA1VdfjdGjR6NChQp4++23sX79epx99tkmb4fD4XA4HA6Hw+FwOByFFiODnxnNS5cuxeDBg1G5cuX851JTU9GsWTNcdJF+P9TLLrsMu3fvxujRo7Fjxw507doVEydOzBfd27Rpky8S369fP3z44Ye4//77cd9996F169b44osv0KlTp/x97r77bqSnp+O6667D/v37MWDAAEycOBHly5cHECslmDhxIv75z3/i1FNPRWZmJjp27Igvv/wSXbp0MXk7HA6Hw1EEeXvGH3jsu1Xo2LAqvr3lxGSfjsPhcDgcDkfCSMnNzc01PWj8+PG47LLL8o3okohp/0OHw+FwJJ/c3Fw0v/e7/PvLHxqMyuWsGtY4HA6Hw+FwFDimdqjVKufqq68GEFPl37VrV1zte5MmTWyGdTgcDocjoXyy0C+42unBH7DhSVfO5XA4HA6Ho3hiJdr3+++/48QTT0SFChXQtGlTNG/eHM2bN0ezZs3QvHnzqM/R4XA4HA4fFslpAIB/fP5rxGeSHBZv+hPN7vkW6RlZyT4Vh8PhcDgchRirCP/w4cNRpkwZfPPNN2jQoAFXsd/hcDgcjqjZfTADJzz2EwDgo+v6oE+LWkk+o4InJycXF74+GwDQ0WUoOBwOh8PhkGBl8C9duhSLFi1Cu3btoj4fh8PhcDiEMGMfAC5/a24kxq6o1ayIg0cz0XnMjwCAVQ8PQYXU0qHPwYTTnp/uu//7zoNoXa9KgZ6Dw+FwOByOooFVSn+HDh2wZ8+eqM/F4XA4HI4C4ZGhXneXZVsOGB3LjH0AaD96otXrT1y+A+Nnb7A6dv2edN/901+YYTWOw+FwOByO4o+Vwf/UU0/h7rvvxrRp07B3716kpaX5/hwlg2b3fItm93yLzxdtSfapOByOEkBGVnbcY7sOHtU+nta7n9elYf726K9WhDsxQ96ZuR7Xv78ID361Aic+PaVAX9vhcDgc9qzfk45m93yLtbsOWh2fm5uLs176Ga9M/j3iM3M4xFgZ/IMGDcLcuXNx2mmnoW7duqhRowZq1KiB6tWro0aNGlGfo6MQ8sg3K/O37/j0lySeicPhKCm8Of2PuMeGv7NA+/j56/flb1erUDZ/u0wp/XT+QxyRvOwcMwHBh8n8uXnfEaNjAUTSRnDqml35TtvDx5zwn8PhKDhM58zCQk5OLk55dhoAYNDzM6zEY5vf+x1Wbk/Dc5N+w4NfLo/4DB0OPlarhqlTp0Z9Ho4ixr9nrvfdn7NuL/q2NBPPys3Nxex1e9GtSXVUTHV9sB0Oh5yKnFr5ldv1s8o+E2QjLdr4p/YYb8+Idzp8v3w7zjm+IWdvPUw0BHalHc13OpzUpg5m/Lbb6jVHvOs5SjqMdsJ/Docj8WzaexgnPROzIUb0b4YHz+2Y5DMyY8rqXb77t328FC9d3s16vPFzNuKh8zupd3Q4QmJlZZ188slRn4ejiHPF2+biWc3v/S5/e93jZ6G0QZTN4XAkh6vfmY/peUamjZF45Fg22o+eiL4tauG/1/UxOpZFhc7u3ADf/rrd+LVtjgkydvq6uMfenP6HtsHPi6ZPXbMLp7arp3X8K1PW5m/fcXqbfIP/z/RjqFEpVWuMohpdczgcRRtm7APAu7M2FDmD///+s9B3/8ul24wM/g0B/ZWizKrtaWhbrwpKubV7kcAqpR8Afv75Z1x55ZXo168ftm7dCgB47733MHPmzMhOzlE4yYlgsRhccLa87zvBng6HI0r6PjEZze75FnsPZVgdP51ElJ/8frXx8Uzkbs4fe/HMD2bHb9sfS39vVrui8etSmtaKHV9L00CmZGTlxD3261Z90b+vf9kW95jJ+3jwaGb+dpfG1fO3X56iXw9692fL4h5zaf0Oh6Og2brfvKSpKHPdewvjHiuKOljN7vkWZ770M1q4tXuRwcrg//zzzzF48GBUqFABixcvRkZGbOF44MABPP7445GeoCMxHM3Mzq/f/H2nmfDIh/M3hX79Wz5aEnoMh8Nhxjsz12P7gZjIXY9Hf1LsHc9PK3f67vOi3Sa8NtXs+K37Y+fesHoFvPoX+zTKjXsPAwDO6tzAegxb7pnwa9xjv+08pH18q7qVAQADWtX2PT7OQPH/88XxC8wr3p6nfbzD4XCYsi/9WNxj/Z80Fy2duHwHmt3zLXYftHNaR41JHT9vri9qOlhfBZzWD3zhdAiKAlYG/6OPPoqxY8fi7bffRtmynvBR//79sXjx4shOzpE42j3gtZIyben05dKt+dsX92hk9frfLgufWlsYYE6TZVv2J/tUHA4lVCwOALYfMIuuBNMZTZn7x95Qx7MIf8PqFdCpYTUAQIWypY2Fkx7Na8lXuby9dkj5sqXwjyHtAPgj7SrCJj/uTIstcrs18b+mhXaUD5tsB4fDUbI4fCwrf91jylsc/RNTDmVk4fr3FwEATnjM3GkNeOu2Gz8ws1c27zucv03buibD8XDvhF/R7J5vkZUdn3GmA3sPbM79lv/6A3bvzd1odQ6OgsXK4F+zZg1OOumkuMerVauG/fv3hz0nR8Skz56NPz/9FPveex8Hp03D4cWL0W3Xb+iwdz3a/LkJ/bb9igPffIvDixbh0MxZODhlCo6uWYOjK1fi0MxZOPLrrzi8eAnSvv8eR1aswMaV69D44E7UOJqGUb3r4biDu9AkbQdWLfsdGevWIeOP9cg+cABZe/fi2ObNyNq3D1m7dyNj7Vpk7dmD7EOHUP3oQZTLykCp3BxUzDyCyscO44/t+5G9fz+yDx1CblYWco4cQc6RI8jNzERuZiayDx5E9v79yDl2DNmH0pGbHWvRlZub623n5CA3Kyv2WE6OzxDIzclBbk5scmT7Pz/pN2vnQ/dHJuVvn/fqLKsxHI5k0veJ8C3hMg0WHK9NXRv3mEk9+bY8B8Vx1SugfrXyAIAjmdlIO2KWjr56R0zo76+9m/w/e1cdJkexfc/IenY37iFKCHGIIyGBQAxIkKAPd3s4j+A/XB483F0CIUiwCHEg7u5uG1v3sd8fM9V9u6aqunp2Idbn+/JlpLu3Z6a7qu69555jvOaU0v7RVT3QvnEWAKC8Mt4uUAb6cU/kgnYd7CmMshzqZ6U63leFqiZjXLhwoYdVuwoPWx2N9o9NNB7TNZAORs2temDY8fGJlucrHLRTAVF2AINTTZeN+8zq/GU9zbnj2XGrHR0HsNrCOsVns7bg6xjTts3D4x3v//nsLcbjRJMmLg4/JFTeaNiwITZs2IAWLVpYXv/rr7/QqlWr6jgvF9WASDiM3SMfQsFPP8W9xzde7Jqnf9zPyOOCCU/iQ/Zk6n+hm7/9WvBaxbjHsE7/NKoFg2P/Ox+uga+456vH3lfFs5HDm5kJj9cLT2oqPMnJCJeXIVxcgkgwCF+NGvBmZMBXqxZSWrVCJBJGaP9+eDOzEAkEEC4rRXLTpoDfj0hFJZIaNoSvVi0Edu5EqLgI/po1ES4rh79ePSQ3PyaaMAmF4MvOBiIRBLZvh79+fXgzMqLb1a8Hb0oKgvv3w5OUBE9KKkIF+fAkJcNfvx4QCsGTlARvRkY0UVNYBF92FjwpKYiUl0ffy8xEuLQ09pnSEC4sQKioCEkNG0ZLlX4/vMnJgMeDSCAA+P3w+P2IlJUBSUnwJCUB4TDgjeUsw+Hofuy5x6Oten60wIkSvRN8NmsLrj9Vb9xfvC0/7rUVOwu0KuQlFUHkl0b71xtlpyI1yYda6UnIKw0gp7Ac2elJyv1p8u+yns0BADXTzar23sIKtKirnhLLA2Zg36RmmpHsWOuwLQqI6ggM7NAQiwTfiQos4G+QmeL4b/L49+lt8HpMBLDUQdLChQsXiYFWxtc+PQgp/njnETvsLSxHzfRkJPsTluFKCJWcfomIoq9C56Y18deG/chOS0J2WhK2kYp5ojj7jb8ciccydgDDuOW7tVu7Rs0121mpyPTYJbvwqkOl/rM7N8L2vFLhnGiHx39e6Xgfisd+su6/r6gC9ao4n1QEQwldyy7+OSQU8N9www2488478fHHH8Pj8WDXrl2YPXs27rvvPjz66KPVfY4uEoXHIwz2XRx+CBfFAoqC+Gx2KC8Pobw8BHbsQPny+P5gAKj6tOpCBW9mpvkbMSQlIblJE0QqK5Hcojm8GTUQzMsFIoA3Ix0IhuDNyEByy5bwJCcD4TA8qamABwhs3wFPagr8deshXFYKf63aSGraBOGSEoSKipDcrBkiwSBC+QVIatQI3tQUhCsq4a9XF97UVAQP5CKUnw9/ndqIBALwpKTglZ83IbOyBKnBSpT5UxDw+pBdWYJgbi58mZkIV1TCk5wUTawEg9EkCkMkgojPb/DGb+zbCu//uRmIRPDhn5u1A35mJ5fs9xqLxwMlepRC1n6QlepHZmo0uG+QlYq80gB2F5ThuIaZyv0Ly80Kfuv6GQCsfvZr9xShRd0M5TFyYvoHAHBM7XQUEgG9/NJKSwLBDqe3q28559LKoJY9KaP0M4bDiG5NMcaB6FNF0AzsB3ZsiFW7izB59R7FHnIs3JqLLftLcUGCrV0uXBxNYMwihuMemeDY6eT8t2caScJJd/fFsQ3U4151QhRoOrEUTU2KBoT3ndUWNdOTcUeMGl4eCBnv/dO49atF2r/BFM6Szykofb536zrwejxVbpMDgPHLd2NwFfRoLnpvNqbd109r2/xSM8nz9Q29cekHcwAAczbl4rS29RI+Bxd/PxIK+B988EGEw2GcccYZKC0tRd++fZGSkoL77rsPd9xxR3Wfo4sE4VY4Xbj4ZxAX7ANAIIDKLVuiD3fFK7P/03hE8vr63/WFVg3y4E/AeeT11Z873J9irD7Dhu2/fko9+OrWxcitOSj3JsG7KBubUiKAPymaXElJBTwe+Bs2gMfjQeW27SgORnDj+kJkhitR+PYmJDVrhnBpCS5cvxg7M+rBM3kfDswJI6XtsfCmpSESCMDfsKHBZokEQ5i7pQTH5m1H2ONB+MB+1PB6Uau8EAGvH1OXbMO5x9WCx++PsltCIXi8XsAfm2ZjrUfecAi+SBhDOzZEhyY1jc/269LduKhHM+XnD4Uj2BdzV2gQo/TbJSl47MwzdRvaN8pCt+a1jIDfyeL9u4U7cF9MbOreMUsTsmh04eJowqBX/6zyMSgj6Mz//fGP3ndfCwSbl+3QY2gBwI68aOmhWe109Gldx3h97ma9YJEyrA4GWBtGRnJiyYlZG/cbj7NSk9C0dprxXDfhWyZgYt3iIGkh+g43O7AK/IW0wPZuVdt4/NAPyzHzwdO1jwNEGSPhSOSgJXuONiQU8Hs8Hjz88MO4//77sWHDBhQXF6N9+/aoUaNGdZ+fCxcuXLhwYUFw3z4E9+1DffZC8V6w2knFann6gCUp9r9tKtJfxx7MA+zqN50BvB57vP7UVwEAo9ib4wAdYzyD0PsLsAUkCTJWL/Hxa+z/3LFALoDTY/8AcVuRJyXFaIHxZmSgvKQM40uLEfD4sH7m8+hfUYkmnkwUJadj9TnvIy0jFf7adRAuK4PH60XKccfBm5aGcFkZkpo2ASJAYOdOLJu5DcOTM1AjUIbipDQUTUlFuLQUkcoA/A0aIFJehnBJCZLbtIE3LT2aQKldC57UVIQKChEJh9DrlVlIC1Zg9E290bR1s6jGSjgcTbiEQohUVsKbHrNg9PncJLaLIw5OkmzjHPaci1AeCKHdoxOQmerH8icGVvl4L09ah8+v7Wm7XSQSMSj8zWqnW+jf63KKtAJ+ymQa1KEhJqzMUWwdj4KygP1GGhjaObFq+rzNuZbnxxF2xp/r92Ngh4a2x/jwz6oJHybK5mKgivz0unVqr/jO9I14YULUjnbk4Ha46bTWVTovF/ZIKOAvKChAKBRC7dq10b59e+P13Nxc+P1+ZGVlVdsJunDhwoULFy4SQ6SiApGYdW64tNSY9JMiIYT2RStOxyJGNd4HlHP7l8yaJTzupdzzHbf97PjcmJZLyWRgreO9Dw48KSnwpqYiXFEBb2YNIBBEKD8fnuRkeLOzgEAQvrp14K9TF6HcA4iEI/DXi7bmeOBBSvvj4U1OQSQcRlLDhoiEQgjs2AFPcjJ8tWshUl4Bb3o6kpo0QbikGOHyciTVr49QYSFCBYVIbd8evswa0QRKgwYAogkwT0oqfFmZCOXmwpuVBV+tWoiUlUV1XrKyEC4vR7i0DP769YFwCPB4jGRKJBSKukf4/YhUVES1Wfz+qLit1wuPxxPVwAiHAY/H0EtxEzBVx2/Ld+PsznoCbrcKVOX3F1egbg39/mvm0FRUHsTDPy7HM+d10t5XhD/W7dPaLrekEqWVIXg8Uf0TINpSVVwRRP0svfPPTjN1Wu45q60R8O/IK0XTWum2+1PR2LsHtMX/JiemGrVlfzRxcd0pLfHRX5u19+MTNvT++WL2Vq2Af9G2qmnxfDNvu/E4NcmL8kBiKv9VBQv2AeC58WvcgP8fQEIB/yWXXIJzzjkHt956q+X1b7/9Fj///DPGjRtXLSfnwoULFy5cuHBxqCBSUYFQLIESKjfTI5HKSiOBEsrPR+WGjcZ7lRvNx2VLDy/P7YMOjwfetDT4atZEuLISkUAA3vR0hEtKogyUdu3gq1kTHq8XvprZiASCCOblwpdRA77ataPbJScjuUWLqIhsXh6SGjVEuKQEwQO5SG13HLyZmYhUVCCp2THwJCUhlHsAnpRUeNNSEdy7F/4GDeCrVRuRslLA6zU0W8Jl5fDVrBnVSfEAvtq1o8KxwWBUODY5GZHKSsDnw47iIPzhIMIeL8becSrOfeMveBDBW5PXYWj7+tHtfc6pzf/5bhk+urqH1rZhzhngq7nbEgr4X7moC+751tl1zKr7DTJTDQp3/cwUFFcE8fFfmzGsaxPbY+yOVZGHdW2MY+ubjOLXJq/HSyO62O6/ZHu+8fjSns2MgH/FzgJ0bJKt/VmYJeqF3ZoaAb8OUyOvVM4w+GvDful7FNPWmgmWs9o3wO+rnFXs6d+54/Rj8dLEaKo1GArD77MXgWzboAbW7SlGz5ZROv9t/VvjrWkbbfayoqQi3hGnuCJo0dRxUf1I6NudO3cuXnnllbjX+/Xrh4cffrjKJ+Wi+uBv2BDBHGe0JxcuXLhw4cKFi4OOSATh0lKES03p2TARry2dM+dgnFVC+IU9+MmqZ7Lmfb39ZQZsq58Xv+5JTUWEJqU8HnyVXAO5qVkoSMlApTcJO+6YCE9SEoJ79yISCiGlTWt40zPgq10b/gb1gXAEoYIC7POn4+SdG1Grogjdd/rQu3grKkvLUeZLQfnadQjl5yMSDMBft240yQHA3yCqoRIJBjFn8S5kVJYBuw8gmJcHX0YGcnbvR4rHh6Xb8xGuqIgySHw+RCoroyyT5KgIKmOYMNp401ppluB62lo9MT1Kqae2pi9NXIvPbNoSaJB69cktAAC1M0yR1k37S9C6nl5b8xnt6ttvpIHereoYAX8gFEaSRsBO8a9ezY2Af8WuQnTV0GJgn5lZ2gYTsJd88pdVca/1eXYKlv9f1VtMXMiRUMBfUVGBYDA+QxMIBFBW5qyPw8Xfi2OnT4sOpJEIPH4/Ksoq0PnJSQh4fXjngvYY0KYWOjw7A+nBctx+UjNcM/SEKI2PUfa8XgTz8uDxeOBJT8evM9fi5fGr0LFdM7x2bluEy8qwP+jBNW9MQ72yfLx1+wCkZUbt23yZNQC/H6EDBxAuK4cnyY9QQSHenboWs/cFce1JLdC3QRJC4TDuHrMMdcoKMLxTfXTq0AKRikp4/D74atZCuKQYgZ27orZuoSCCe/fi3UX7UeFLQoNgCSqDYRQnpaFueQGG1aqMZtljauLJzY9BJBBEYO8eIBxBJBBAYPdubN6dj6LkdLStnYLdOXkoSk5DZmUZmpTnwZOUFKXARiIGTdObkopATk40c+/ChQsXLly4cHEIgwb7AOCJRFC7ogi1K0yR2aIcq/J+2eLF0uMx4deS+3/E4+T1zX++aXsu/WL/AGD9pOcAAN+T99dqGEpdGvvH9E5oAmT1l/b7W7Yfex/GAwh6vNhZqwm2/F4nKrhaMxuRikoED+yPskTq1IHH60VJgyY4Z9M+ZFeUIPm7PSioVxdJRUUYunkV9qbVwt5JITRoVgv+unUBrw+hA/sRCYUN1okvswa61/Zhw658dE7NjiawIhHULc1HUXIagl4/wpWV8Ph88Ph8UTtijyeaAAkEogkQjkEwontTPPlrNHj+a8N+9D9OP5GQ5PNYrGx/XbpLK+BnTjUNYwmTi7s3w3szoroCBaUBW3tcABi9YHvca0WCqr+L6kVCAX/Pnj3x/vvv44033rC8/u6776Jbt27VcmIuqg/eFLM/aum+AlT6ojdkn07HwJ+WhAp/Mir8ySiu3QDejHjF52Ty2o70Otie2QC9G9ZHcvOol3WjcATra23A+lrNUNj6eNSqwx2jZUvL0+lr0rDKU4iMU7oju120B3HG7CjFq/0Zx6OvjcVXOBzBZw9F20Y+vro7rv3UtDW5U0OpdOO+Ylz/8gwAUR/cz8euNAagzc8NsaVlLd2ej2FvzQQAbHhmMPw+r8Vbl6ml2lG8Wjz4m5GYYH2Rm9n5B4NRa7SYUFUkHDYVv4PBaAY8JQXh4mJEQqFoj2ZFJSKVFfCmpCASiSBcWBgV3vL7ESoshK9Wreh2xcUIFRfDl52NcHExwkVF8GZlI1JZgVB+Pny1asPj8yKwOyfa6+nzI3RgP7w1akSpjMXFUVpjenr0WHn5seRQNJPPMvOhgkJEyssAjweBPXuiNnTZWfB4vfD4/YDXh3B5GSKxyo0nORnh0jKEy8qiImEV5fD4/IgEAgju3YtweRkQiFIlvUwnJNZXGiouQri0FKG8/Oh37vVGxb+ysxEqyI9SbT0eo/LgwoULFy5cuDi64Y+E0Tx3O8py44NQHqyJee9Lk4zXbmcP5gB2R3iKPZgArH0i+vAL8v7an/9jew40abFjrHPRV7Z9OCsb6/94HqPzS1CcnIaKqcnY8IoHyS2aI6l5cyAYhCc5Bb46tRE6kItwSQmSmjbBKXM24dRAAPUWBlC8ozay9x9Aj5yNKEpOw5ZfJuDYNo2R1DCmReDxwJuZGS0cHjgAeH3wZdZAdkURyvypqPT64YtENQRCHm9UJyQSia51XVQ7Egr4n376aQwYMABLly7FGWecAQCYMmUK5s+fj99//71aT9BF9WI6EVihAigA8OqUdbhzwLHK/fcWWS2hAMDnNYPaSav22Hpy7ylkGcK0uPcWE8sZGQ6UmEFb9xa1MbBDA0xcqd/HNHvjAeNxit+Hewe2NQL+/NIAamWovbSp8ArrefJ6AJ7ZpCVoRLfxeMx9kpKiytrsLboPec9Xs6bxsi8pCYCZbPFJXDN8WVkwjhwTfRIhpU0b+/M/wkGTNpFIlCHi8fsRLimBNy0tKmwVCEQTD0lJiAQCBh2RJW08qanw+HzR5EwwCE9KCoL79gPhULQvNcaK8taoEe0Pzs2N7uP1IlRYaPSSjpq8Ap/P24GAz4+6ZQWoXV6IF685Bck+DwAPfFmZiARD0f7T9HR4fD4E9+wBfH7c+fNaJFWUocKXhLeu6IHgvn0YP28jFuwsRlZlCW47rZWR7IsEQ0A4hHBFBYK7c+BJ8sOTlo6f/1iF4uR0DOnVGlllhQgVFGDxqu2oW7gftdL8SKmZHU30FBUZ30swJyeOVhpKSoYv4CZeXLhw4cKFi4MBb2EBggCyAGQFokWXQGHMQnjWbOl+l8f+r3h0spHgeJK9+QewVeNvfyN5fc1P92vs7QAeD5IaNYKvTh2ECgrgy47qNAR27IC/bl0kNYva4Ppq1oy2rwQCCFdUou4tN8Nfu7bqyIclEgr4Tz75ZMyePRsvvfQSvv32W6SlpaFz58746KOPcOyx6oDRxcHF9LXxiqrH1E7HttxSXNrzGNv9N+4rBgCpquqYBTuUAX9FMGQE7I2yU+Pen73pQNxrPKgqbFZqEvofV99RwB8IWVVJ62emGsLDe4rKbQP+X5bGe6q3bZCJNTkCL3aHCIcj8Hpd5eNDBTRp44mJMAGAL9O007EkZpKTgdg2SLHeI5bkDNmfh5Ed5/DEuuVAzaiw0fbMaKLm1k3pGH1TH9vPMWOuyUDJOussAEDznvvx8EdRe7pH7hqs7P/LK6nEc+XRqsaNI89CZmr0M9/46h9Yk1OEL67riVOPVdsq3fzFQkxYmYP/O7cDrjqpBQBgUGz/z6/tib4KW6ZwOII2D49DOALMe+gMo/8yEomg5chxQCSCGXeejGMa1QRiyuLGTR17fu5bs7Bm+wG8d2U39O/YNCa05cHafaU47+XJaJgUxuRHhiBSXhYVBqtRA/B4EC4tjbJSkpIw5LEfURj24O0b+6JDrejv/Mz0rZgwdwNqVRThxzv6IpSXF1XDr98AiIQRKiiAJzl6Ldz75kSEPF707dQMZzdLgSc1BbOK/Ph26krUK8vHQ+edgMCuXQjs3BldgARDCOzdE6WJejyYMWk+Qh4v2tSrgXqBKEvHX78elq7dhbK8fIQ9XnRNLkdwN2ffFWO8uHDhwoULF0cFIpHofLorumankomhvDxUrBcb6eZ98QWOX6PDlzi8kLAkYteuXfHVV19V57m4+Aewendh3GsXnNgU/5u8zmCXqzBzQzQg35En1mpoUVdtjbK3MMoQSPZ7UVPQ65NbYl/5+2HxDsvz7i1qGY/zSytRM10dsBeWRXuFLunRzHiNffZv5m3HE+d2UO6/q4A3rgIu6t7M6KXSUWstJv1K9w88zhBO+WP9PvRz0IdVVUQiEUxatQcntanrKqQehpjL+fragdo3dWxi2qcu3Z6P7i3kGe0DJRXGYxbsA6aAz4Fi+/t2b1H0vqmfaZ5D9HyKsL+4QrJXFEUVQYNBk0WYScZ95vFgYU4JmjeuFW17MTeIBrsA8ssDCPiSkJ1Vw5K8qZmRgrKkVGwG4M1Ih6eGtSWJMWUikQjWpkWTEo2bN0JyLOkwqE8qPluRhz0ZdZDWSa14PfHXfABAZcN6uPKKqEhUxaIdmLEuei4vXa5uKXqwLJq4eWpYB/Tq08J4/ewnfzcUoLco2poKygLo8n9RFt6apwYZatlvTl2P//6+znZ/IKrm3ObhKDH01Yu7YvgJTYyWJj7xwyia4D5Tqwd/hQfA9T0b48GzO+LYRyfCgwiuOKklHju3IyIVFdF2pJiGTKSyMmozVxFtOxr4zjz4ImE0K9qLt284Bc/O2I7NG3aiZ4emuGV4DwR27URw/354k5MR2J2D4L598DdsgEh5BYJ798CbnoFIIIDKnTuAQBCetLSomrvPh6TGjRAuLUPl5s2Az4fgvn1R4dsYsypCxONcuHDhwsWRhz0vvoQGD1Qz4+AgI6EV/rhx4+Dz+TBwoFVRceLEiQiHwxg8eHC1nJyLfwZ1arBFu3rRTeGXVKHtKu27Y8Fyo+xUy8L2ou5N8e2CHUhNsu/d2bSvxPKcKqPmlQZsA/49scCDtiUwfDpri23AL8LAjg2NgL+wLGgrXLKEtC7c1r+NEfBf/cl82wV3dcGojsaw8JEBqOPAz9fFwUFakg9lgVBC+157SgvjMb1PpqzZqwz4l24vEL7OrpcDGom6RbFrnl5jJZVB4++ff2JT6b4FsWA2LclnBKk8/ly/X3mM/Ngx+ERjWrJ5vG25pWjOa5DEsK/IHB/pMRoSppKutVH7RmaypXtz83svqggiK9Ve9OiEY2pZnt/Wvw2e/s2+IsESK5kpfsv3OKxrEyPgtwOz1wKAwZ2sbJQrPppnGb88Hk9csB8MhRHxeBEBMLhHK3hTUhDyRs/lkznb8fjwzvCkpcGbFm35oswYAAg3aYptWdsAALdcNwg1ujfD2CkTUNq4FmbnAXcf1xapx7XV+iyHEiKxrDNTJKetRGBCukBUVDccjmqelJdH2SgpKQjl5SFUUAB/vXpR/ZdwGN6MaGIjsHdvtC/W60MwZzfg88ObkY5wSSnCRYXwJCUhXFqKwK5d8CSnwJuejlBhIbwZ6fBlZSO4dw8CO3fCk5qG0IH9COTsgb9B/ajNXW5eVGQsEkZw3z4Etm2PJtM8HkQCASQ3b45IMGixJnThwoWLQxnhovji6OGOhAL+Bx98EM8/H+8DEolE8OCDD7oB/2GGOrEqnU51neFiUh13gmU78gFEKcIULIgvD9jTTjs1ycbugnIM69oYgJV2PWlVDm7s21q5/x6mMipoKXACql3QmBzr45mbcfeZ6gXnk7+uVL6vC5FYoC7OeGWG5Xm3pyf/Y8mGwxWb9hXj9JjgI62Q6qK4IoiOj09En1Z18PWNvbX3KyD+vZ9f1xMj3pX32KlQGRTfX1NX78V/BrWT7seSZDzqZOglC6n/M43/GKtkhqDViCKvNDpe1FIk0pg3sgjBUBhF5dHkQk1OuyQr1ZwGQwqLIdoOleI3f3fKWCgsD1qsmmRgYxcANKttaplsO1Aq9YOm58azcY5tIG8RodgfS1rUzbQm9mgCY0deKZrWkjO1ZN+DLmjblhPva4a9JPFy/gnRFpdhXZvg63nbHB/rio/m4s/1+/HQkHa288bfDb59yPKYsFZoCxHVafGmpyOpidjL3F+PtMscxGQIna8YdOccY99IBJufG4JWI3+DJ8Ye2fjM4GiCIRiMOukkJSG0f3+UGVK3HiKVFYDHg47PTENKqBLZFSUo9afCFwlh+nWd4UlJgSclFaGC/KhoWFIygvv2IVRYAF9WFiIVFbjzywUoTE6HBxF8MLwt/vPNQngiEXRMDeCS7k2jgrjl5QiXRtcykbIyBHPzEMrNRWFFCIu25yMMDwb27YBwaRkqNmzA0r1lSAkF0LDkADJrZyMSCCBcUgL4fEAoFNWHceHCxT+OcIV+AfRwQUIB//r169G+ffu419u1a4cNGzZU+aRc/LPQrdKVk6oi3+d+Re/m+GKOvVzHpv2xyZB7/abTWmPB5wuQrFEdWxVrS2goqND/tmy37cJtypqoZysNHprVTsP2XGeWkrecZv4dukDbKwmOKNbtKbY8P/GYmkYFVBfr91g1A1o8+JujgJ1nSgB67QhHM1iwDwDtHp3gOEHS8fGJAKJBz0nPTcGskWdo7ffKpLXG4x4taqNv23qGloXdbxYhvTpnd24s3GbtHrX+xJezxfd2HU1Kf0GZuXBtQSroJx5TC3+u329JnomQH9s/W8HeeeynlbiS0NwpCsvNFhperNTj8aBhVipyCsstrTY8mtcRB8EZJPguVgT8QaIdQsdS+ttt3FcsDYILyXfYuKZV8JRPoMqwL5aYqVvDeo60TaOsMjH2iC5255vjo1PfaADYtD86dmal+g02xeW9jjEC/tLKINKT7Zc23y3cgT/X7wcAPDtuDfofV187ceLCORZuzRO+7li3xuOBx+uNskRYR08sIeLx+QztFG9jOtZFx5xyfwrK/SkoSDF/57SuXbX+7LQZ5v1ba9hQ/B5zFpoI4I7b1fPAa5PX43+Towyaq58ytz3dQcKeJTw+vLI7BrRvYHnNcPgJh6MZVaZfEgxGHX58Plz/2iQs3p6PkqQ0rHzoNAS9PnR6ZhoyAuV4/4J2OPH4pogEg1Gh2KQkUzQ2OQURAFc8/zOyK0rwxOV9kO0LAx4vHp6yFbv3FSCzsgyvXdULkfJyBPftgycpGd70NMN6bndhBb7/fTHSk3y4okcThPLz4UlLg8frw9S1e7Etrxx96/lxTHYywhXlCBdH22siJOjae6AQ5QdyUa9MzDZz4aI6UTh+Apq8+OLBPo1qRUIBf3Z2NjZt2oQWLVpYXt+wYQMyBLZuLg5tMEq/XR8tq7L5vR5kchWmaWv3av2t5TuigzVPW20SW8BmpdnTWZl+QL3MePr50h36k0Gy31xsNqmpF/DTSiWbdHls3BsfSNvBLuAR4cz//eF4H4awpJL5/IQ1GDn4eO3jsAVHv+Pq4dNreiZ8PocDXv59bdxr6/YUoa1mkLAz33p9ibQgZKBVTSDaO33iU1ERvUXb8tGteS3RbgBMoU0gcVaL7Fx1k4W5peb79L5duSuavKMJARHyY/vz1XkKVTsQ2z+TBIkUWWl+5BTCYAGIMGFljvIcAeDX5btwaz+xuwU9dofG4qC+Toa8pWbZTnNso2MXAJx+vKn7UR4ISZknrDovGusyU/woqgjaMr2+1EjsqvDA98viXjuuQaZt0onhuXFrAFiTOMc1NO/Bz2ZtxS397Kv1941Zanl+5v/+cBlOfyMueGeW8XjU9b1w2YdRwdAnflmJJ4d11D5Od8VYp8JfseQOD90EUVUgG9+SfV5UhuxZjVRouF0j81o39mcOPz5y33s8QHKy4fCzsjIFuWnZaNugBvy1a8MPIOBLQr4vCbsz60WFQSEWjd1fXIEFDaLrgncHDTASdRe12ocrPpqHJjXTkHXW6dLzX7Z2Lz7e2QTtGmbivrv6Wt/7fhm+mb8d6We2xUlnyEW/Pxq7Al/M2Ypb+7XGA4SNxtYgL17QGRfFmKcsCU7bZJ74aQU+n7kJXkSw/tmhhpvMcU9NRUagDF/e0hcdW9VHqKgIkdJSeNLTES4pibbMZGSgzzOTUKOyDLcPbIdzOjdGYNduhIsKsTgvhHcmrkSFLxmj/t0focJChAoK4cvOQrisHMED++FNScW93y9HWrAClV4/Xrywc3T/khLA68V3k5aizJ+CUzo2xTFJQcDnBUJhBHJ2I1xUHP0tQyFs31uA/SE/aqb60LQsF/D7Edovvq5dVBFHILsmoVFu2LBhuOuuu/Djjz+idevoxLphwwbce++9OPfcc6v1BF38PehJ+nXrxhaZReVBVARDUppmXgnrgU2OqyiOHHw8bhu1yPbvbooFH8fUtlbLWFVsf3GFdpW5bgL95pTSXJssrlULfYp9JCnCJxyS/V5UBsMI66gfxvDo2VGmzOntGmD+FnEFxAl0e4jfmWH2U066u6+RPHhvxibtgJ/SM6ev3Ye3pm3Abf2PXCu/N6bGs5fOchAknPz81LjX9hVVCBNXPMavsAablJ0ybvluZcBPr+1EhRkzkn0oqQyhZ0trn7+h/1GiThaygJu/75vWirfmFO8fHXtqZcQH/MO7NsbYJbuUi3bGEBAJhQJmhbtQkXgQOZzwaFJT/nloUoQP2Bm+nrcNpxxbV/jedwt3CF8HosG63+tBMBxBfmkADbPFYzhrvRAFGUUxdsOPi3eiV6s60r/FWFoUDw1ph2djgbgd6tZIiUsu39i3Fe7lAnAZlu+MT+pSpsDns7fYBvwRB2P0oYhIJILJq/filDZ1LRoUhwtOamNe45/P3mob8G8h19zDQ6Pz06nH1jUYGjprhn/FHEkAYMEjA9D96ckAgNu+WoRPHCSrnzgnnt1qh49nbha+ftVJzfHBn+L3KHYSkeRG2eYY8+z5nXDfmKXo3creQiwnZod8gUDn5PPZWzGsq7gdBLAmS+i9xhKUfDKbB0siitZs7DW7ghNjkG4WjD8A8OLEtUbAz64Fek38smw3wl4fWtbLgMfvh79WdM4Mev0oSMnEwn0V6NQ29nrsPeN/ALnpNbE/rSY69OqMlEZZSGkVdaPqXFKJOcuif8fXsTPSJGP7lPnmZ3//Quua4aW86FpqYv0amHTPadLvoH9szdX/uHrGNVtYHkDnJ6JCrIsePVPZUtbiwd8MEdUtzw81RFVbP/grMoLlePSCEzGiV4uoM01SEjwpKVE74YoKeNLS0GfkjwCAO8/vhou7NES4qAiepCRMWrYDH3w7Ex5E8OHNfZFcUQ5vago8aekI5R5AuLgY3uxshHLz8NhXc5DvT8V5x9dG32aZ8GVn4ZWxi5CeswOpoQAu7NIQgV274K9dG57kZARycow2psptWxEuKER+ZQTJ4QDCHi9KklKREgwY1oLVhRajZeaBhy8SWv29+OKLGDRoENq1a4emTaODx44dO3DqqafipZdeqtYTdFF9oIuc044ze/qy0szFYm5JpWVCochX9NG2bRDtJZQtqBnaNMjE0u35uLCbddKhC/m5m3PRW7LgpJ+hfeMs4TYq7Ck0K5WdCXX2fxd3xVmxoFe1eMgjlUp+cX98oyws3Z6PrbnqgYf24p7eLlqZu6znMXhhQnTBvHR7Pro0q6k8hmzBOui1PzFZMWEwMJFAQL//1+7vvzRx7REb8P9dAUKPZxLTTaDX50d/bTYSRyKs2FV18ZmSGM27XUPrtaJL6c8tYQG7dTFydudG+HTWFtu/zwL+7LT4xczYJbtif0N+DkwDoaZgf8AMhCkbgscFJ0aF7ai7AQMLPlQaACWKdgGGConGAiB2WGHweDyomZ6E/cWVyC2plDI5psWSFp0UvfN2bAsRKoj2il3wxRb2tH2rSzPzfArLA1rChTLs1mDOPD9enJyYu+mAMtlxKIAXW31qeEdc0bv5QTyjvx8/LTGtcJlg5QMD2+HP9X8BiF6zdmK9FDTwnKaRyKNtLqfG7EOPb5SlvCd1oHvOC0g7BGUDMv2QOZv03VpEBYFSmzaeFEkQS9dtJRVBS3sTBZsfRMFoXU2GKcOkVVZhaMZMOqdLI+V+LOG6UdDKCADbJc5TQJQR6Ym1SfCfISstCV4PEI5E18j1Ba2muli/Vz7/UGw9YK4x6Vi5ZHseTm8nZp4a8Hjw/PmdYg+j7R9hrw9FyRn4fsU+XHRyG/iyzDmOPkbDRthbVIEubZvAXzsbiHnVn1SzLm6dHr2Pclschzb15WvKn2ZGr987Lu+D2rHCY9NanfDMuKjo7J0a6yFabJoz8gz0fm4KAODbm/rEFSXs9t/y/NA4fZBIMAhvsv54crjAeQMdopT+WbNmYdy4cbj11ltx7733YsqUKZg6dSpq1UqMbuXi78eeQnNAPY14Xns8HqLUL180b4kNMqKFK1Olzy8NSOniQDSYBYCMFGtVgrIK5hBRJx75RLysEVnUjhwsFxyjoAE77Ruk/bmqBe/+ouj+LMFBURHry91XpJ64dpFsOKt4ZqWZE+Wvy3bF7cODZtQXPXqm8XiD5oShgk5wSxkCFOs0abkHEy0e/A0t99cRQAAA545JREFUHvwN3Z+epL0Pra7+eOtJlvdU17toG1UV2A439m3leB+VoJ7MbUOGNI4qzij9djRw1mNem0sI0ntQFSznl8Uo/YKE4tmd1Qs9wLzvZQlJNraplOrZopiq6jOwViQVQ0BFWb+05zEAgA6KJKbdvb0/Nnav0ghCRMwK1hKh209NWQo0gVykkdgAgBHdzaQvdVqZsMK+daKqeO+PTcbjzc8NMR5f/P6cv/1vM5QHQnh07ApL9VoHNNgHgEfHrqjO0/pbQOe8/47o4nh/1v9OQRNvMptgERJhOf2x3kwKtKobbVt9cpjp5qMzBwCIK3Sc28XUGZAJqgLAa1PE4xLNq+kmpUXJPrvExf7Y+H0W18ZIdZRUa0cWbNepIQj4Y0kLu3UTw4PcWu+yXtGx06epPcSz4VgCRZXsLSoPGvMTP4f4vB4jcUNb1/5O3H66uLDi1fwO+EQTW4fScZxHJBIx5nn+d6THo3EGD3qf1M80rx0quFtU7izhTJPbF71nL2ZcWmnOT3FsnZg+yJEY7AMOA/4hQ4agoCBKp/N4PFi4cCFuuOEG3H777ejbty8OHDggFPNzcWjgrw0mLSu+UmdPq/osVokT9fPSyllOoX2FpV6mPAuqouozwSbAKjSlYwtGt+MX1il+nyHmpZp42Pcj6rXVVZz+bflu4zGbbGhFbMY6+4rDQz+aizwdVXA7/PlAf0d//8UJJkNg6r0mo+CsKugK/BOgmd39xZXo99I0rf3u/87sOz7hmFoYdUMv4/mrgsUoD5qg+eSaHlp/U4T6GvR/HiyBJarSMIaJLgZ3sgbXbOIvrghahOh4sIUQX+Gn92FJpTxQNCj9goD9rA7xPaey/XnBPicojC1EqKo/A6uyFCpag1RBCftchQ4XOyLoMAlEto792kavBZGYpwgvXdjZeNy5aU3jca4N24OB/hZ0/Ptx0U6t/d+49ASt7exwMERKywMhtHt0Ar6YsxX9/jvdmFvtIEuKffjnJuHrhwo+J6KfzFnhMcJKCmj0sfPweDzo3DQ65245oJ80ScRhiCZ82fVCtVt0kmwA0KWpdY1A27l25MmZgbJAjrIxC8vk9z1lKLSpbybX/h3rmT+ljbiNiIEljXnbXnrv/LpcXqjILWHrJlGFP3pMlWgxDRSppSlgJih/5yr/Mpx/orV1gd1TqpYtNn9lJPuELa9s/NZxurJjwarAkrKipDMA/LJ0t/B1hvRY+8+xXMFqwPHRRI6q2FVYFkQw9l2p1pxvTZMLt1MdmvpZ5rVELYEpe0EEKn475uY+ym1F+JmwhS7rdWQzo3g4CvgnTpyICqKa+eyzzyI316QSBYNBrF0bL2zl4tAADRZ4WpdOhb9DLKN+osD+ilZ7xiwQ95rSDLRKPGy5Qnhv7mYxde2i7nqTuIpaxgaS7YqJlwX8vK0VYGVNqMD3Y/PgFfxF+EMjKJeBDpivxxbNzUhv9Ud/2fcUUrSqF892OBRREYwPcrbYTC4ynNTaXCC9Lujt5zHyh+XG47YNMpWVXB40kO5PAnRdDQt2210umNxowC+rUtEgg69CZab4keSLLrhUSbdXYpXzPznhLLp4WqjQsDBF++LvWx2Wgl0P/6BY0kAl/McW1CJhUZYk/HmpfNHLFoUDO8RTLtkxE6HT81gasz5VoSVxSmBgdNw0xXdAwQfKrEpkp+fAIEvUzFYwvOi9wN9DdkHL34FIJJJQkqbdoxMszx//Wc+mtf9/pxuPzyTV1qd/W+34HBLF8+PXoMWDvyk1JXhQRgkL0K7oY45Hb0xZr3UcvlCxLLZWuH3UYuV+9Lo5uY3zlo2ughY7mrCavVF+zdL59ozjrfc+FddUVUZZBbUvt8agwfvK3fJ1Ey2U0KTpcbGkhV3BhK2beHcPirU5cgYT259PGAAma0zF8KI6NM04HZji2HvbbFopGXhGDZu/VMiTJKwZ2HqS6VypIBKd5EWwRSgPhAzb6poCLRtALGTNUBEMGSy1ulzBiq3/VclaNq5npviVdqzHN5KvbTaT61AmLGuXuFlDrrMTj3HOKJ9HYggWtzwy1NSt0kmYH65wFPDzlKHDXfjmaMMyxUKwrqG2LZ90GGWKn7R4ZKeJBy9a/aqt6F0bvWC79L1mEn9oOhGpsqyMFisKElifsqy/E5DbWgHA8UQ9VxRcMrSLTbKibHeiGNzRXDzbVUtoQDC0Uzwdmg/KeFBP+AyBYJRq4j6YOO6RCcLXn9BcbFcFlF0DAM+c18l4bBfkrScJIGpp16OF3mTHeuRFYpL0XpbRESlNnfe693g8BttFtVgIhqPXZMu6chcXFUPAtOWT64fI+kwBoECRMACAiatyYucgv3eMRZ9g7GLjieozsIRBbQE7yGAIKKp0l8Qqk1f1UVclftCokIuC7V4x4a9MRf88rRTy119tDT0HOjap5gAZqAYLfy3dQNpdVGsTeg5PDY+KxdEFn261edmOfLQcOQ6dn/hd6C8vg+zcnvp1le2+NKj54MruWsflsXFfsdHW5HQNN2HFbrwba+e6b8xSrNyl54rDLBPPIAlGKv5mlzRtEWu5e/ycDsrtZKDtMCfHEkOMaQDYf3cs4Lz6pBbC95n+jghUU0JEaWeQtckBZivkBkVbkCrgpqJ/NFEXin1uO0r/AUWFnkFV9WUJBdE21GJUdu/RuYkP+PlqtR3+xeldiNZAPPIU5w+Yc4JsDqXXVzdBdf5mDVcRKlbIJwgaxKrlG/baJ10AawspYH4u1drZ+A0V1zCgLhj5vdF7XlWssBt/z3/bdPtIxN2qdSxJRttyryL39Vdzq+ZCcygjoR5+F4cnShTCLDriW6oFL8W8LeIqPPWKTlRZmJ3DIG7BSnuI8hV9VEwtd+YGeUa+gUJ0hfXwiwasVnXNAWSuQkSHTbLXnNxCuo0u2KL33rPaGq+NXaxe8P9vkllNSWTAvPh9s09qxf8NBAD8cvspxmvvTLeveB9sbHrW7Nu1E42bSOzYaOuDEzCNCLbgpRWjuYqKJmCledPfiwp16SzcRdl/+toeSSvO5NVmxl3km27YeiqShYz9cqFAIZppGqQqxgST0h8/9jAhv8pQWMpSsKvw36EhNsm0RUTHODmmrK/q5WWJHX6xBZjVQlW1mCUTmkqSniwA7yMRnaOJuExBWwILwPMU4ydd0Dbkxsm6hmODfH/a1tBE06GBggVPLetmxDEMqFL5PAkTDLDSyy+LaSecR4K/GRoibgBw7pszLc9Hzd2mtd/do5cYj/uTnlmnzCoAuIjoIKjYJQyhcARnvDzDeM7rAdjh5i+tTjxDX/9Laz9mv6krzEYRDIWN6+aYOtZrX3at86BjOKtOPn6umTxYuFXOLgLMsbGRhJkYVNz3NIhSVUZ1WHsnK1gsqkQdSwY0yLLOAa0UCViK/YoKPcMnM7dI32MJA1GhpE5GsqFFkCcZO9h3KNIeEc1JPPaSuY1fe7bWYCiyvy9b+7I5UHb+VNdE5KijShQzUHYdP/Yxto9KH4jqK/H7G8laxdida5P0YMWAXgrRPMaE66VwlfjKxvZV5DDzb4mmgQisdWZQRzPRQ68hXbeZwxGOAn4P8/rkXnNxeGCWgnZWx7BG0bnh1T1I9SSTAhtMmtVOXLTMoOQrsoxfKAYMNmiqBhxVhZstWESfkYpdqSZvtnjgEwt00akCDe7euuxEALCoospaKhj4arNTUEoVu/87kd5ElfDZwQKvy6ArTAYAr042EyS0ukCDdruAm7Fjrjm5Zdx7N36xULnvzZL3TyQLh0Xb7C0d7XoHZaJwqvYbgFQHFGNHvhHsxp8Do4KrBO/yFaJ7LFiOROT2mgWKvw8APVtGA4fjFI4VgVD0Nxb9Dfb7qxSaiyuYBkD8ObAkgOo7YH9XFKwDZuJDRomn1WHRoo0pbisD/thv3DArVb5oVAR1Ywh7K5FkY04s4OeTDYA1mJqpmOtoJZ2dAw1krv98gfZ5UDz043LBlvEYS3pIndjB0TnlPzEf8hcvNAXw7vxmie0xWj8UH+DraLYA1qCJQlewDoC9grgAuwvKEQxHkOzzxv3ulNKuwkzBnEcp+TQhID6HaMLBbiwUgQW7IncPp1CtEVTrng0xQTq+bYAmMLYrKPEsgcaLLQNmW9ipEjtRwBw3ROwmr9djJBtlFfKtMY0GkQ6KqN2CB3Uh4PWXWJuEaExhYGOibYVfEjCvIG2qIncpkVUij/mSQhpgMv/ySuXzh0pfpo5GhX9yjGq/WKK1MDxm66hieuyNrcNUWkSq8wTMe4C2DvQjzCE7Sj67hpolkHA+3OGY0n/11Vfj/PPPx/nnn4/y8nLcfPPNxvNrr73W8Qm89dZbaNGiBVJTU9GrVy/MmzdPuf2YMWPQrl07pKamolOnThg3zjqBRSIRPPbYY2jUqBHS0tIwYMAArF8f3x/222+/oVevXkhLS0OtWrUwfPhwx+d+uIHRTnkvbEDPT5tV2WRWMkzBVabSbCQMEqByMhgDr+IYqkwzg6jaqeMJbmSqM9WfQeQVzWAsWrnFA9UAUAWQlPbbom78byljWNhh9I29jceyau/hih7PTDYeM1bCTaeZFOA/18sXvTK642uXdDUeL1PoTgRCYSPYalVPr6JCIbufaA+cjIruhLIrs3ZiPZIi7Q5Arx2oQFFhN4JdyUQfDkfM/QUBO9UP2Vcsvm5ZIC2ze2NBtMzjmUIkzsnGVJWtXnGFPGBn57VGQcs1A37xZ9ikUJkGrPe0qH+SLVrzFX2o7DcWLerqGNeBfNHYVpFQGdLJXnwxx6bSyvC6Zk94omA2UDwSaXOklGJG3Rbhyo/NtdEtGhRgXVz1sXrNxdDzWfMz30EqapfYOBtQ1e2hGo4aPNjY2bR2WlyS6Byicq9qo1MJwgHAB3+q2RWqRJMdmO5Qog469JpKEehrHBtLepygCHynrdkLIF7wjt7HdtZ8ALBlf3xSYFWMvSErlJQHQga7VBow2ySNVcUqyhSSVcrZ2FsrPSnuGmLaJSqxaTvRV6OHX5KwoHZ7IpcIOi/K3BpUYtK1NNhZVKyOhw6lf4yNZgc7xpTYtSYC+wwqrQE7/BhjsJ7ezlwv02t/7BI1w5UltvjWkKMBjgL+q666CvXr10d2djays7Pxr3/9C40bNzae169fH1deeaX28UaPHo177rkHjz/+OBYtWoQuXbpg4MCB2LtXfMHMmjULl156Ka677josXrwYw4cPx/Dhw7FihalY/uKLL+L111/Hu+++i7lz5yIjIwMDBw5Eebl5M3///fe44oorcM0112Dp0qWYOXMmLrvsMidfxWEJJo4iyhLX1RDts6P0T1sb/d1kPaS5isWiLlS9YAyqrH/rWMB1TufGce/piD6pKP0UMnHBSCRiDP78oEdFmFSBx58bzOA0Pdm5xZAM1H/6FUmVni4+bj6t6ovOonK1jePfATbhjhxs9u1e8ZHeopeiOemnf1+hkr0ttxTBcARpSb6EFoyM9kstnHjIekhpEH3+CeoqwnpJf+iKWJ+uzKeYORComCUFpfKAn2X9Z0mYJ0XlQbBLRNTDT8GowzzY9yCi0wPmok9GWKPBhIjdw5KgapaCPOlAK2cyDQyWyPNLRKbs+kDtqK9sTC2qCEoXnSpap05bGAv+eHsvALi4xzHGY1ngzAKvBglUWv8ufH+LadP5jI14Hm3ZYPonb15mug0Me2tm3D7VhSWKZIJT3HvWccZjuwQzra7zczNTiQfkvzlT7W4uWKB3JswyVQ87g0qUU4ZIJEISTdaigE6S6r0Z0blBpQ+iArUi7tA4Ptk4MNbeKNJoYWDjH+8mQFk6Mls6Oh6dI5iD2jWSJ/EAc82W5PMIHU4Ae0o5Ez4UidtlpviNIF6mh8O+Q9G6jZ6TzBKOtbXJAmq7Cr9d2wBN4socJ1hS5HzB+p0xXlUB+5Q1cjE8xnoorggqE2cqsMq5yl5yb1H0PqovcOk6qbUzMc1ckpim1zF1kOIRCkeM9Qof8NP2qCMVjka/Tz75ROufLl555RXccMMNuOaaa9C+fXu8++67SE9Px8cffyzc/rXXXsOgQYNw//334/jjj8dTTz2FE088EW+++SaA6MD86quv4pFHHsGwYcPQuXNnfP7559i1axfGjh0LIOokcOedd+Kll17CzTffjLZt26J9+/a46KKLnHwVhyUYlVtkIcNueBkdMxSOGLRckTUWAFzZpwWAeOsZBjYgZEgUSXUsx5ifr2jBmRxb0KqstzbGLKdE4jl2ll2RSIT0oiWWoaS0Wv4Y6aS3bFe+PNtsp0isAl1UyQSIALlwIq2UXN7rGMt7L17QmWynpphHIhG0ePA3dHrid7R6aByeG//3qUxXRVyU7ita7DD8tkxuh8NszlrVy7C0EsjuEx7TYj3FfP8lhayXld3PNVL8troZAUmg+da0qJiUrMLAgvn1kgpWOBxRMnMYRVDmXpFfFt03XWKJRCGrUrGFoF2FpiIYFooGseq6xyOu0DPmgUo/xKgSCcZP2pdfbENJTJaIE9pVvdm5iXy4gWgigl2ess+hDPg1Fp0qP24qeir7Dhi12u6z6uD+gcfZb6QB2pP7oU0f/sXvmdXwJY+fBaDqbZF03F2gCL6Hk2TC+mcGW97b6sDWzimohSyPa8gctGKnOFm3NTd6biJmImWq6Dgd0CSvLgrKAkawXp8bg2kr3d8FumYQMXOYJhDVppBBFVTJ7jmquyBKmNrR0dkcVDsjWXqts6S/jAXB2mBESQ2Px0wkyAJ+FrCL5ihaeJGxzJhzkoy5yRLZSyRMkp9sqs467U15Rltb/NhZ2ybhAJhuPSJkpfkNBrDsGGz98eDgdsL3e7a0FxFWVfhViQIRRFoIgFoEeU9hOQKhCPxeT1zxhSac/87x8GDioIn2VVZWYuHChRgwYIB5Ml4vBgwYgNmzZwv3mT17tmV7ABg4cKCx/ebNm5GTk2PZJjs7G7169TK2WbRoEXbu3Amv14sTTjgBjRo1wuDBgy0sgSMVLCDuR4SCGEzhrUphgFRYFjAGDBmlny2El0rozW/ElHh/lQRHvAK4CCw4EInksCqZTIAnrLAXA6y2ZaLvoKAsYPTxqtR2VaAaCTxTgk6GOt7uPFQVYAaaQU+kQv/sODMw5zOkI0iGlCqpisCLRb03Y5NU8EaEt6ZtQIsHf8N9Y5babktF+cbfear23wCsQSj1HXcCVjnh7Qsv7XmMaHMpRBS0K2OK7bIg0BRbkl+vI7pFf7dE7WiuPCl6DqJxBYhWNcM2Y4cKRiuRTUIOgNTP3C7gp0F8sWDRxyr3NZL9Qv0HdtySypBUZZgtqEVVrtQkn+EyIGIJ0PGItyYzP0P0HGQJWbZoldlXeb0eW7VpFcOK9eeqhNnYYpLvowWsVZ9pEuG8nFgPsowpc2NMqV9kfQVY5wB+G2ZRym/HYwVZ9P9028nS7USg7UEyxoWI4UEF+abce5rlPTruXviueO3EI8nntQiXnvbSdOX21COejYO02qr6vlRBCLU5e3OauA1jW6zCf4zASpJCdg7UFk/G8FGBCUXWzkiOC7ipeLCduvgDg8QJJlXvO6C2CQbkzCgKZmEp0pBhzBxZOwnt7RclXFVJToAk+QT3PMOC2JrtNZtWHJloIZtX8iU97CKhNwa67pq3WS2gK7PP88aOIWu/U7UkMNhp2bBWK9H4Tin5sgLHxTHr6isFLi8ej8dYQ8gYWozdIhu3WhLRallrxT5FD/+Twzoaj2X3MmUfUEthXbBruXHN+PYgqgWhEvU+nHHQAv79+/cjFAqhQQMrta9BgwbIyRFXenJycpTbs/9V22zaFKVXPfHEE3jkkUfw66+/olatWujXrx9yc+XZ8YqKChQWFlr+HW5gPeoiehEbjCuDYaGaP6twpSZ5pcGFqsdIB048NUVjjkqwBABKKs3BWGQPRoUAywQDFlvIZqbKfUjtqrYFsWplE8GAQ7FOYb8jA134yQSWvid9WIkIEKnUjHUrVUHJ5HvCU5O09m/x4G94aWKUtvXdwh22llj/94sp0sV7xDLRQwAYvzw+EXXrV6Yqtai6IrsXKFhvNa+I3JOo2aqCJHadiFpO2CLzQ0kP6oFie0YKq4rLLJfYIkeWUGJBoixhQO9L0fd194C2ca9Z95dXNngMF9AdywMhI8EnC/jpIkakRVBktASI96evyxZsBTY6AuzcRBUKSgcW9YACZgUmrzQgXPSx1gxVBcROgJG9LrpW2GsyajBgXud2bV2LJONMjlHhF+utMKX+BZL96cL7eE48i95fjPYpwnWfzTced4ktEgccby4+nVaqAODHW822gP98vyzu/X9/bbK6+PlbZ9wVnZMT4VKqHzAiFjhMva+f8Zqqb1cXJRXiIIElqESUfgpZ9ZX2Zp96rDUpef6J9kK5qv59agln1zKRIWm/+z/iFiC6b2fbBIt3DjhW+T5gtjqJEr8sIJfdt4yhJgNVOxcFagc0ks7MvcaurXK6JBHIWiBl4otsDruslzrJbsfcvOtM8VxFW1VEvyFro+3bVpwUB8zrXMZyMOZBYbLVZKiJ1q4AUB4LlkVMGcBcB8hactn1LXMCoElzEYs4EAobiWRRhZ+2+8nWQ1S0kU98qGx5GVhbokg4nK7HdQVYDzccdbZ84Zgf9MMPP4wLLrgA3bp1wyeffAKPx4MxY8ZI93vuuecMrYLs7Gw0a9bsnzrlaoNJyY8fMCjdd6NgwGG9N6o+NLuKJVscPXFOe+H7J5CAX0Qvo5WPY2rHB+w8xZwH9cMVLTgzkn3KLOe+WP++zIUAUFvjAKZKrqxKx2CnVArEZ0lpALluj3jSkLErGCg1XFWx0BlcZWjz8Hjpe3ZVElm1aE1OYgk42oN5CwnudaFSdWeYvDq6GOYF+2jFXyYyVlwRNK57kV3k1/OirReySX5/iTxAY+gfW2ylCBIagBkYnSnouwbMyrsskBwnSKRQjF+hfl8l+MfAaOqiHn62v8/rkQbLFKK2ANZ7LVPI93k9Rk+2SMU/HI4Yx5AlLrIU1nxUcE8WONBxXTR+sHFdxaSqZdNLq/JiZgv6QCgirfCMWx5dkJfb9Il+NntL3GuBUNjQe2iQLR6DK4PmHCFaeNMKEZ94oXOCSA2cgVc6B4Bnz+9kPP5AoudBz6c35xJD577vbMSxEkH3p81k6pqnBjneXxT00UX7DRrOBnbUb5F7TCQSMSr8zeuIAxVG7RUpwAMmQwCID+hUFrwMKqFImii0S/TIAi3qQy+qELNAS5bXaVJTnQihQXi6oK3r+lOiVf/2jcTFCmaXyifLGeiYKhp/mXaTag7qE2s1sGNO3m5jvzZG0or4U6wlQJZIZJamMpcXO9A2rX2CYJXNKR0ECv08ZNaspjVt/DxIf1eZlkWejei2LmQMMnov+AQX64HiSkQi0blS1NpH74PdAhcUAPiSOFHwic52kuuTgjGVmkmsbY90HLSAv27duvD5fNizxyoksWfPHjRsKBZCadiwoXJ79r9qm0aNotnI9u3NoDMlJQWtWrXCtm1yH92RI0eioKDA+Ld9u3hgOVQRiURsaa0MImGSCZL+Wgq6IBctthhljNHieVDbGtHfo5WzzoJKup1FD61AiqoiHo9HaU+yX6Naep9NXyhbuKvsu3QxghMZoayDd2ZsEO6zcpdcTR6wKs9/yrkd0N9UZC0DWGlROmJ8W54fiutOMWmGxyqSAQBwooQFMOjVP4Wv251DVftnHx5q9oSKrplIJGK8rlKmlWk2sOpSZopfqH1xRe94eh4Fq/Cr/JOZzWauRGU/30asky12ZJaedovqAcerrbp0xi1W3ftF4EVuiuX5lb83U7sWUfqNCr8ioceSfaJFY0ll0GiJkiUNWGVHpHZNkymyyixloIhYBswBgAZAPNiRZS4dqsV7A0LJt2N7qZKmgLjfdF9RhfF6XUlwR9tKRD3hTAOGVuQpWOJo8XZ7m0sK2o7A2Ec8aNXrfxd31T62jgYJ/dwiy0CaAKLXCWXXqKj3iYKeO62G6yKvNGAEwTJV7d2x31RWFbzm0/nC1wGT5gzIaci7Ja46PESsEJpgEinsA9bfY83u+GCNBdGyy4AGe2WCZCUNQFvVjf8N2OeSuawUxMZ/GcOCCiGKhlezDUh+z7Mg1M4iUqZBwJI+l0qKPmzMlemXqNhVFMdK1pg0CStKFrKWnGSFcCqrnC/ami98XyWarbOOYb+jXWvcj4vjE46hcMT4bfnWRBFEWiZsTqhbI9mWXcSU+HmoxKxvIS2qsjFze65YsO9owUEL+JOTk9GtWzdMmWJavYTDYUyZMgV9+vQR7tOnTx/L9gAwadIkY/uWLVuiYcOGlm0KCwsxd+5cY5tu3bohJSUFa9eak3IgEMCWLVvQvLl88ZySkoKsrCzLv8MJtFJo58ctyhCKrKh40B4tUVsAg4zOSRXnkwRK1GzAy0zxC/uIREkAihUSBW8KNjltFfS5GgG/wpKPqryKejFZdUgmwOa3GQjpQHZcQ/k1KOtBYsJzMkVSmoh4hvTrA6YLAwB8cGV34f4fX93DeCzSIRAFEo+eLWZ88OC/zy3PD7U8Fy12qOr17JGna/0dBtp6cK2g9xGwtqF8JfBBppnqzk1rSv/Wsh35wtf3Ggki8fVid82bSSr5NcsWYnkSOzbGFpGNG2yxJOsfZEJLMtvLIcSWTIRCjYCfBXAi5oxuopMtCkXVcXYOsmCdvidSeqZJADt2jChpsVazxYeNK7JeVkB9zTB3kaclavNMtFPmp82wfq/6fJsmUGGh1pk6SQ9RW5Sh+C7pB2eJI5XSM4OO0BbFTV8sNB6LWhIGdzQLHTRQHDXPLERQ61SKty83W5MueEetn2I5J2JN2u+labbb67QwUVA6+lUxUV8eKho3dQ4RtVQBwC391VVflVUmZQ0wYTcejH1lZ1X7wHfxrRg0idK7pb0Kuaq16ypB7zVgHVdFASvVnBD9foxZ9JPEts3Oko4GmyJ7WuZspKres95q1bgV/Vvi11mrIXNE4MHmT5kGAGsV+GRmfKBaSlpBZQwxOhaITpH9rqLqP4M39tPIgto8hdMNxVRJew3bv1aGXcEv/jfIK600Ek6yCj+FKDHCWMI6lnytJYkVllRvLEi+0YKfTEuB6WHI1iKq+f1IwEGl9N9zzz344IMP8Nlnn2H16tW45ZZbUFJSgmuuuQYAcOWVV2LkyJHG9nfeeScmTJiAl19+GWvWrMETTzyBBQsW4PbbbwcQHXjuuusuPP300/j555+xfPlyXHnllWjcuDGGDx8OAMjKysLNN9+Mxx9/HL///jvWrl2LW265BQAwYsSIf/YL+AfBBtIUv1c6cTKI/DZVvvIMtL9fJMDGBksdcT5RsJynULkG5BVIBp1KCaPl0Z5JBp0Kfy8yqYt8XVkAJ6t6PkIqxiJQOqnI2soOrFWht0TVXQUaBMi+A5rMeX1qPMugF/FyXv7EWcJj7JL0z7Z+yBT6Y98T/b6Of2xC3D70upX1/b5yURfj8cKtpo7Ht8RmTia4RBdQor61VSTJpKKTyyoL7BqSVZdOIz2BTMGcgv3eqmtWpfBLkx4yFWd634kSfY/EVLplNGmmwg+IGRkseSWbxAGgU5OaAMT9j7oBfw2jQh//W7BEoKyHH1AnDOYT9XS7aozIceEPm8oXA/st6HfKwPRFLuxm345mZ19m1xoh0pSg7Tqyaq9IW4XBqY/5A4JeeJbIldHD7UDHpgkOBUBVbQIA8Pg5Zi/3gFdmGI8fJir3vSTjNk2W85VmSjXnfdgtrBAJnZkGIDPu72d5b3hXU9dDNL9StxaZS0h/Ir7F67u8O2OjcB+KXqSVTXQO7DOLKOn0XhQxIygSYeWxYLdBVoqWZsKDgmuWQTS/ANbPMHtTPDvIrk1uj83nfnlSNHG/QaHNwSBqLft+UXQeVVmWygJxwMq8SNQVgVm4yYJlJgItaoWkSQi7OQRQX7P0WuXBChai5G4kErFl2jGIWASRSMTQCJCx1E5UrMvZ2qBmehL8CpbCv3pHGRaia84U7LO/j96QtDiyK729wJ6SBvyf/LVFuP+OXBbwi8f/VwnzSuZYdjjjoAb8F198Mf773//iscceQ9euXbFkyRJMmDDBEN3btm0bdu82+ztPOukkjBo1Cu+//z66dOmC7777DmPHjkXHjqa64wMPPIA77rgDN954I3r06IHi4mJMmDABqamEcvfSS7jkkktwxRVXoEePHti6dSumTp2KWrX0ReMON+gsetm8Icq4s6qUqmeZ2qPwmdpAKGwEDHYDFgC8LPCBtxvw6IRMs7IMwVgrwdmd1RVFQCxMwiZvVfBEA8AfF8UnTvYUsYBffIzuLaITgiwLSu1d7BI3IrA+ycYS4RUV7MR7nILqHcx7+Azj8UnPT7Xd9/pTW1n+rwrOJ72lF7xjqlxT4Rad71pkKyejpjEMjV2LsiqUwQiRTJKUqj9vc7zoqI5gEsv4lwVCcSwJmoiQiWqmJ/uMRYYocdHVJsFHmQ+i3u6iiugxZUJyADBqXpRdIXLvMMTyNCv8Iko+qzSqqvP+WIlGlDCwC/YA4JqTWwAA6grufbYgtrMuZeO7qErD3FNUbgzMcmlIx/gxkiZjZIwTBlGFh84JsjFcZT35gUSYUgZR0thQfJdQOofasE1oFfhYbi58ari5DrGjBotAk3qMeloduOR9c0wb69BVAAAu+8C0EuSTpv8hFl2TVsVXyFUir8bxifYPX2WXuTVQUFacqPeXBcot64p/87TY2G5H2Zf1sN9wapT9JWpN2u/Qxlel3XNTX3tXHdHYNXaxuHLPcKLE0YKHzm/51K+rpO+pvoMmkoorYCZbk3weocMJADx7XlRDQ2bVxtaOMnapSlOJMUvr1kjRos7L2EOA2m5ZNF4xFFcEjbnNbv0sWnPQREwtyXewTTHmsHWEndgqC+b3CnROmP6Kqp2LJR1kv+PM2Pr15DbqgpVIgLIyGMbuWAFFJNoHAP2OM5OPXwgYm4c7Drpo3+23346tW7eioqICc+fORa9evYz3pk+fjk8//dSy/YgRI7B27VpUVFRgxYoVGDJkiOV9j8eDJ598Ejk5OSgvL8fkyZPRtq1VWTMpKQn//e9/sWfPHhQWFmLSpEno0KEDjmToCF+x5PinAmsrZofXw8Zrk/Xx8iJqbLHn8dgvvAGxem6+DaUpgwQeItG9PJtBHzAXzKJ+PJ0KP4VIU4AFcLIsJ6v87yuqEGZJZV7nDDI/dsCadRWJ9zDo+sM7hSrQsMv66vaXUps+2ppiR33/u/CbjWDdTptAkNFIG0gWo5RKKKrA7zd6ruXXbI0Uv3Hf8PodbNyokeKX0nk9Ho9xT4ssmthnkE3S6SSZIlLqZskOmWggANwjUU8G6NinXqywxaToe8witnsyzItV8d8QMFuYsrrKPz5TwTBg904fhY82YC4GCxRWWU0lix0Ahk7EzI3xlUKqcG9HffxM4Am+mFR7ZXT4K3q3UB63KqBVLtmifBCh1Yt6ulWUY9oPfqNCxE5GJ+URCkekrBoRKHOOjvWLiDe4U0o+IBfQAqwJgBtJywKDTsBOK/+vTlbbsolAe4pVSvnZaeL7v3HN6D0pU4BnkInysURAWUAw/hbZa6joIj1FPmez+U1UvQ2G1RV++v3LHHQA+2QjoC4IqeZgmkjl9T/yiUuLLOBumG26TIlgKNxLrgHVeMbu+do2VHjWkqPSrOmpqPA/MjTa2igS9qMMXRlTpnVMFJh3HwHMViZA3sN/71nyOTRXQ/wXMK8RUeuCUeFXJHWHdo4yhmRsGJb8sUug/yxoi9uVX4ZIJMpekyUd6Lz0znR7dtHhhoMe8Lv4Z6BT4WdZTtGY2ig2Kdr1WDHw4iusf4epdMrAlP5F27CbXOYD6vF4DL9VEZ3epCXJBy3VgkinH5qCF98KhsLGMWTVBDqginxx7RSchxGKJZ8woD2wHQSUKIZb+pk9kSz4oFRJmeAVw3tXdDMeU/HFDo9PNB7PfegMqMAnB6hY3zKuFYD6SdPvZ+CrfxiPf7jlJOgiHI44stbSUX6X4ebT1AwFI+DXWGyJFsv7i+yvWXrf8HRClpW3CzxYEk5V2fQIuxutk/vWA/EsEmanKap8M7DrWWSdZY596t9JFXAzSv0ximCZQcSmYFVG0bjEkKVgGLDKn12g/UfsHv+cC7hpdV61IF0QS1qIlOhpEldmS8oq57QfnUGHEkwrfTIqciL+y0B0wVkWCMHrkVtLnUbE70T9yK9MimeeMdC5Yy7HtqHtNj8pquz3E9HXIa/9iY5kzOTHPR6fEP0Umvi0w9c3mLoAB5vGukaiMG7X6sbwmiJhIJu3NsaYa6K5lSZ9zhdYfgLm7y7SzWHzn8wm1w6UcdVBoqIPmAWOX5fFBzrsXpVZwtEAU5XQpD7pPNh3wM8fkUjE0GNSjTtUtZ1nma2MiW+qhEBZMkfUylQeCBnuUjUlQTtrCRNB1xaWFZL4OZCOY7w1r2h/kdOBSrCPgSUrRcGslyzqZZR8FbuKibXaVfgZM5Wt9yl0eviNhIFg/qGwE/oVwezfT9diaqi0Pw5XuAH/UQI7D2gAuChWoTheIAbH+ttkPYQ8+BtqvoBuLAILHESJhf/FROBkoiQUYwW0JqPCr2A5UKVPHoy9oAo8KL6aa3V92B+zJfFLbEkAa/CjQwPmcTbxSuf3n0UWJKqky8AO5mD6r4+i/suj55uuFC+P6Ko8h4EdzMX+zV/GV30A8eS/4JEBxmOaHODBX8N8Nlhk0afqOwOsi+VWD41D20dMt4A/H+iv3Le/RgBy6rHiHkXa1iCqKO6x6eGn4CmBlcGwESjqslLu+maJ5fnnAns0EVh/tcj2iFV9BgmCQB4ipf/CsuhnUCUr2TUhsjRi1W7bHv4UcTsSAGyJVUjW5siD1tv6R8eOLgJxxjemRgMRlYwI+/vCgF9j/AZM+yeeCUQXoaqFt0pAkaewi8Do0aL2FpmdIAWl1opYWoB9T/K/JdZdf8QSsOGIPLFLv19etLQquGe0GYCrqr239jPnHz54svvtaUDCBNjGE4bRvRIWDLUIvOi92cJtAHVAYAeaiNYFTVKdIGkn4sF/ZwXkXu6UAMuLahDImImqVrcpsbXKFkEik4K6JVCsIK46WYqEJWMkipwpGMtslsD2ELAm72hRgIEFaCpmiixBXlQRNFyZVOMOncN5duWvNiw5wCZZGhv7vB6ghmQMOrtLdNwTicExPSo7sTo2v/BaBTRRoUrYygpZgJ5gH2PHfS9IXFF2lc7f59cSOk4LgJrSb/bwawT8gsQjHfcTEddj6+FmNgwrtlY6WKzQvxNuwH+UgA3kewSZNwYmSCQSh6F0Th3wStN21GYGJnImaivQAcsmi2zjmAe0jBIFiHt/gGimmk1EMksoOxiWfJl6Aj73fLsk7jVGfZNl62m1+aWJayzvzdT8DWmyhrEMHvzB7GeXiSaqUKDBDJEFpe9pCDd9eZ3ZCjTo1T9x1v9mKLaOhypot7NwuYMEGMznFbAuWG+WJJKoeKKogmG0gGgIRvFtD1RVWkdsCIjvbdax46QQBXo6PfSMFiu6LVgQr5rk2WK4tDIUFxDqivatjo17ItFSFuwMP0EeuGQqkg6MudSzhZzSyX5/UUKTaW+ENIRHRaAMDRUjhbUciFoPdHp4VW4CojYpHlQr4+3pYmvRS3qIrbcYhpFKLGUm8eOhHUQMK4b/DGonfU/0t2dvcj72Vgdu+WqR8VjmYU7/5kYueKVjiMyZRQZ6zen0n/NYSpxLeLFBXWwjbjsyGq/KzpeOybIkOU3myjzU29oky3IKxfcGrXarrg2WKDqrQ3zlkyVcb7JhkwHAFoFCvM74+ZjEaYcFy2lJPuW6i+KruVZ2UksNgU02txSVB+OEG/PJ+cvWXTXJ/jwMdXubCj+7PsYssFp20zYTVeGBzr1xn0Gjws/2EYnb2tkdAkAPMjeVcBpY2pT+2Dy5v7giLmlg9PCrAv4sljCIj1N2E/0DmZ6GClNWR+dVu99xwSMDsOyJs/Dz7ac4/huHOtyA/yhBRYzSFAjKF4w61fvVEqVYO1B/dhVEdnwMTJX+/86V6y2cE+sBEnlpM6ho+5f3Elvf0GBKJYCmghHwa6r9ijRc2sUGukt72Ctt81nWRH+7qmLTvmJ0efJ34/n0+/pp7ccECp8bby7UNz83RLjtKVwFnartrn9msO6pJoQ2pIeU9svuIjTe7i3EFSqf12MEk3xWOxyOGDQ4EVWdQeZ6QRkeOgkmIN5OjQkaysSSGFgQKeo/ZAtGVYWEXZvUgoyBLcJUFU7KlOArLGNj1U47ITWVkCU7vorSmJUqXzQyYbFereQBv0iwkIExKN7/Q2w7xUArxKL97cB6XEUsB1HlSPfvA8CcWNCr28NOq4Z08Wjn506PT5MUojYFJ6A01Ut7isdfapsns0a1g2i8ko17PM4gicsrP55neS+RZMK/PpxrPJbZiv54q9kuRRO73xJWmEoUDbC6jTBQ4V7dYJEHa6Hp0jRb+vkHdZAzj0TiwTzo2kbkTgSI20MoZBo2+ZrijwaVWnCNsyScjlAvn3Qurgga96Eq0S/7fczKsP6aiReNZoUKlWUxSwaHwhGD5cSgk7Bg7xVVBON0DAw6vc1nWLAlOtbwbRG6Ap61ybqStSAY58BYBgodAdaOJHI6YWsEWSsTYNVRmMHpWej+jnUykuHxRNeuB0rMaykSiWip9LMKf0llKK6tkxZTZMm3/47oInwdMAVBV0vahijs2FSHK9yA/ygBsycbqKDVsqAiTaFIbmfnJqPuMYXRC7uJ/d8Zzo4F7JmCKhQbOJWie6wlQDHIyhSaAeuASL2QV5C+qgybnm3Z98f6axOr0UXBqk52/WQAsECjIicDXThSP2tVQoZi1ZMDjcenv2yttrdQ9LGteWqQ8fjOb5Zg2lprtVO1aL1FEmyoqHIUvOUUAMyz0RoArMH0TKLb8OMis61E1vMMmNccn9XOK6006JCqrList/Gb+fHBswzMpoxfFDJxx6tOaqHcn32GpdvjF7Y6/YcM/KIuHI4YPfUqSqvP6zHGDJnS9eRV6lYgxpoRBSfGOSiTDrG/Lxh7ijR68FV0eoY7bDzHZfapugkfNn6WBUJxLSYtYirnKsFP1l8vGmOZQnVjiT0mj29IwEgXjy0UKtiA9V4TKccnihs+M4X4ZOMvTZr/66NosEwZJyrRLoYknxf9iJbAh1d21w7WP7zKrMJTK0cVs4QHrS7aicQC1oD39almD/2TRLHd7vr79xnHGo+ZheVfEgq6CJf3ErM+psfmDxUzhoqIVXBJN53kvsfjMcbPvZKx+K3LTlQeg4pxUr0HNiec00W8rmJg7S8TVsoZWTouOzyT8y9C8RetyRhkDi65Gi4xDOfGPiOvF9Mi9t2eq2gLSUvyGWsTPsDON+yc7cWaASCXEzzNL7VPWAPy34hZnIraBSgyyLjKM6VMSr/CbSf2nqi9gtH9VesIOsbwc7Xu7+j3eQ2BYJp8KiwPGj3xqnPISPEb8wt/L7FEiip5SOn6sjaT09uJ2bFHA9yA/ygBu3nWKKq8bNArC4SEftgA0N3GwiVVEtiwaqPKegQwe5VFg4JO4GD4UHMVKpq19Xnllz0NKmgPqRObpdMl4kAsMMsR+KXrgC7EqtJPOVTDlvCdf5nCe2f9zxS/+/OB07X+RrqkV66HpNLNwNvfXfPJfOPxqOt78ZtbIKLZ6lbGALFyty4bg9m8UGGyKRpaE4BZPeYFq1h1qm6NZGXSonU9ccVzhST4E4HR+fhFYW6JXrDOlK5FlFZjwaWosDDKe8cm1r65ksqgwXSxy7pnSXooGVQqxIDJUuDpjIBewJ6loIUWGW0J8s9Af2N+/GWUZjsLrRskNpWsWmJ3/2Wm+I22Cv57ZP2bKjola8sRJaGYYKmqD1WGP9aZwZ8Tpfn3BIyIIZ3UWhIyN4mlNlVaGej4qUuL//Santjy/FBseX4oBijcKXjIEgOjb+otfJ3h9UtPMB7rskFEf/Ojv5xZJzJQD/A3BS4XdmguoX0zHR1RbzsDLULwFfLFhLGlQn1BhZ3O10z0WAaaNKHOLXs1+p4BdRKdQRaUA+Y9zTMtaN+9KulERWHpWivXQYVfLvwa/bsyqzZ2bky4j3eaMVT+FfMPpdrz7Yc6Ys+AWIMHMANPleUiYP1+k7n53nCaUXwGNkeLHI1Y0rFVPfvrBABembTW8tzJ7yjqw6fVeTuLY/NeshZA2LikYvvQa4Syu+i9uHq3fYX/SIUb8B9lUN1sdTPNm7mUDF50ALSrbsuCSaYhsMumj5MtGDcJesl0hEtM0T/roEezxqoKPx10//u7Oei9PkXfLoiqAdPJb+LKaLXJr0g4qED7EVX0PJGaMD2Py3uqe2AB+aJaRzyO4fpTWsa9NuZme7X8X+8Q906dxFH9RNjy/FD8d0QXnNOlMTY/N8QxjXXL80Mx+sbe+Pza6IJbF8w3m04yrHfPrv+U9dfxKvts8agSOwLEFpaAuQCwo+MDwNzNYvqxjpUlYLaa8BZe5YGQkdlX3bdzY3TvtzkrHBY8J/u8FsqhCKxHfCu5TyhUlQXADOb5dqBAKGzQRFVJC6PCL0h6FGq0JdBkaTGXdCiqsE8YAGbvPf9dM9Ewu2DO6/UY4no8S2pZrKdaZf3JvuOyQDwlk0G1cJfhA5tWBjvQBMrVJ8WPSxQPDjIV4TcL5iGnf5ceQ1dLoyqg7CoGu3HwXFKdHPTanwCsi2RdZ5pEQc9Pp9+YB2MGAmJRRz6AoqDJ6elrxUlaO2capn0wap7Zf04DPLs5gK7LaM+34dJik+CXUbXpvK9K9rGWqg+5hI1Kx4KiZnqykSikFXInlH7GjOT1n3TtkNl2vNWtroYLo8LzAbNO/zwACyuH3jtsXtdZirBz4J1idIpdNRXsLPYdNK1lr4cAWFsTAWe/Yz2B0v46hbYLD0P4j0savzAh2tqpSsLRxA3VgKEtno+fI9abOBrgBvxHGVTUNkpFp2I9+wmd0i548Eso36wnyU7RnNKm6MRNe4BUvVTZhh+4mNYF6PeT7cg1Jw6VfzaPvseaA/9iwYSpsuYC5BZEVPRKlbg5RlDtoItOHbVtQM93V4VHOCEfWSDPg6/yAlaqvx0u7NYUb1x6QsICWL1a1ZGKIspwoqSPHhCLYOqACV2KbHooLGI7JMhiApQ6vZvMA5gH60NW0bgBYP0ecSDJFip+r0cpFscSfDwNjwr26f6eX0icBexcL9j5FZQFLAs2Wq1WfQZVDz+rlqsYAvS+5avrurRSqhRNg9zlsep0noZ4JhN9msgJMDIv50375UmDjBS/MY/s5zQpGDU3EbV0lb6BDr4kQmB2ejIdm5jBGU366mLMzX2Mx8Pfnul4/6oiPdlv6KQM7tjQUeISMFl4vywzhXZ/vFVuJSgCvX/OcsBQYKAJ+/9dLO/LZWiYlWoE9SJaPQ3GVJAxqezaSFiQSHUb2BoqM9VvW9WkeJa4Q5gBv3r9cRyhOdN1E03aqdY9bP7ie6N/FLgdieDzeozjU2akYeem0c7Fxh2+kq4b8DPw86VRHbcZO9n58wE/GzNrK/rnAWsxhLIUMhTuKzxYoM8nGnWKXTSZzCfedecPBppgikQixjxeR0Owur7Amk9ll8mjXhbbv2qaK9QWm9pVipicRwvcgP8og6jqykAX1KUVpMIfG7ya1EyzXXTTKpyI4qTyUgWsSt600sasuQB10oEtyHlV5O8X2QtO8aCWPEyp/WqbXmbAarv0ycx4iuO1J6uPQUVX6MLpk5lbbP82AFxLfmNWlaP0crtKJ8O8hwdYnjtdOLJ92D9RIK/ab+aDp+OWfq2x+bkhjhZMBwP3Ef/sHXmllmDrDJskl6xNRuQLLQIN6GkyiS0SdPxkeUZM/PvqQPHimIgkLy6YTxYqqrGDCXHy1V9DsM9BZfSY2ub9Q3tyaSJOBBaMhyOwCD/RhZpKZdm0hgrEqSzrtAQA5r1Jx7tgKGzsb1elYt9TOGJlCbDjMutAHcyRsD7stAYYU4wP+Jm1YWaK+jNcIxgfWbJBF/25AI8uOO1aAuh1+lss6KWV0mfP66TcnybgqFibKilY3WhRNwNbnh9qac1yin9/vdh4bOdU8vRw06N9d0GZxa1j5BBxAlsFpqgN6GlbeL0eg4XAWIT0HjzbpgeegbrRAGYQqNI+AsQaCew8dDUrGGg3z5b90eteJXQGWMcFqrS/jrSJqcauTrG5mW+5ZMkxnWCbBYM04GeVVTvBO8DUh+KZXOx4diwTZqPGr290K/wGJb6UD/j1KP20YEZbSBir6jwB85IHm7MPJMAyoDoZfOLciY4OYBU4LSwLGteFSjSQob4gYN/iYPwWJQyqim8554SjFW7Af5SALXLsgj1mUcMopIA52OhUxts3MoM6kRWRnegfzbBT0R7KMlBV2WQZUN2qNoWXLPxGxXoBVxJfXB2kJcWf68U2tlKnksCEBnC6AlQ00/tGrB/yeaJ07wQ0YP+n0aRmGv4zqF21W1X9Hejd0ryun/h5lSE8BaiVYwGrXRYfKDrFKgEbICPFPllC70s2udPFnx3jgVUO+GBKp38fkFewdCrjDEwHgOkpANZ2pBqaTgOAtTLG2oHocUWgwTav1KzTww+YSQNaIaLUYLvEB02Mzd1kXoNs7NBpJ2L04/7HiRNVwZD6GhX18dPES4Ns9Rw0opupgM8njQccr1ctvpP4mq/YWRC3gHYKOpedbpPAk+H7W+zbmQ4mXrqws/H4wz+dtVBcStrEznljJm4ldoAi1XARJtx1qvH43jFLjccqwVOKXbGq5tMxsUB6/dklXRkoNT4cjpj92zb3nYg5yaqsjW3692UIhyPG/G9XnaaVeRqzq2yYKSaTBAvFZ7OjzBg+eScCE3SjApusPUMmoEZRS9DDX1IRRFlsDLBLOjD7Qalon81vyCznqNNCgCRb7YJluk4R9ZnrtPMwNgy/5DGdAvQS30yR3txfj+Ugig/Y75mZ4te6Fw1KPkkasDZTnfuQ7S8rDuq6vFDoJA2PBrgB/1GA8kDItFaxGXTYAnsbycjllegNFoB1oJsWqyrTIEblecuDUqRYlrdFnXRlAEjpOrTKyqjOdr14FJWCXkCZNZEM7WM2ZctJpccu6UKDJhrAJdJHeahXxo8U0Oz65NV7cPH7c4zndtUNej3wCsWA1efZDiLBq6eGdRRsaQW911g/53bSC2+nzsvGhm1c/7xu/yMTy+Sp7LqV8ejfiG/nocGyzMqHweMxq4T0PDbGKjRhmzVrit9rKEXT/SORiPG72rVEGcKDpIeT0jt1HScA09YSMIMPnYX7ic1rArD2ElN0saHEM7/zfbTSl2O2AdS1oYVSYSmmPcBwThe9hVsX0jbw9G+rFFvq4YqPTIs7HR2TWQ/Gi5se6onLEd3NRMvTv61WbBkPem/pXGMitGvo3FtbBCauSO1c7bSH7oy5BFBLOPo5mtgEGSL3od2xCn8jjZYqEegYYMewsPxdIgr8DqeJIoNM14gp8x+rsW5jzMb9xfHJNR1dBjZHUNE99hukJflsf0OZflO+QelXz0FsnqbJQTaXeDzO9Dfem2F+70YCVSPYZWw9Xjgwv0TvMzBsT3Ae7iJotzIE+zTXnyLRvh9irSE6Y6exvyTgf0AgzkwhmueZzaBI3+poghvwHwVgi0+vR10dB0waDqW2OaUDMTBLNTqA6tLJASut74BmHxf9fBuJYrqu2jgADFfYv+io4VI8Fas2UHqSk4nj01lbjMdsIm2lcQ6sUsEL4Lg49EAFnURWilf2aaF9LMbCoX2cOotFmrln9wpd8NoFmpRVIuohtUsWsv15G7DFsbYaSnGXgd3btMJD1YF1wM6jUHCMnTaCox6PR9jHX1IZMqpudhX+bIHTQLiKrA8K3uNaBNZKRcdS+pvajV91Y2P8frJgo+OfnUUbTVI+NnalJWGsm8CkwfUcwnS4ondzrf2pxWdZpXP9gMY109CaJC6cuIUcalj6+FkH7W+/cIG6fUKFoI0jEAVLaI4m1N/tRPND5jrD0LGxGSgxVsqb06LJV11Pb979Yv4Wcy6wW7dRTCPtex7oJZmeGi5OCrO++sE2LQ2AWSE/IEj43EFYbDKwgHtPYYVxz+93YOtX00gYWINlXUo/69HPswT8lca+dgljikqRU4HG2pN9ThosB0Jh43fQXYNTS1NAfw0vshY8oOlSwFBPQcnXmcuMlgDCEKBJLDunsEt6mIlLVvRjGkG8zfPRBjfgPwrAqjvhSGJVBnOwcKYwzJTL6QLcycT1LsmSsuDDbuCn/V9UkZoN4jq9ZCoVfztbKwZ+cuArn7oQiaGdolHxpcEJpdM9OFidHXWROJzeHwz0nmQVGUqBPsFB7y+jHtM+Sp2FBmBm1llwx4Q2darrVLeCBqsmnVJ9DrLqDTsHkdUQj2xBhUdmlSRDpsBa73UHNmGZpI+fgT32ez2GJ7MMLDigY2aZhv8wBVvYioL7FJu/D5iimUWEbULdVexYCnWNSp+5YEt0/Ju3JdfSD+vET16EhzT7yW/uawb8t41apNhSjin39jPaoQ716j7DY5zQKqCfoH5aEDROvKuvo78/e6SVGWHX/kbBz81MaPdcjf59UTBnp2tC0aGxGaz/HmufYfmGcct3i3aJw/GNrPe3nYUxDza2UP0R3s9dBirSJhozRYno+L8fTcb9KtC9aCWxjqWg8yefdNbREGDBLM8wKTB68O0C/pgGAZlr8gyxO2fFLsbKikQihiaALh0fAH5YZLKzKGMtEZeP8kDImEdr2pxDI6I3wYLl32PuUrqODZTSz7contHOviXLVOk3EwYryRzA6wTx+BdJ6vIC2aq1/dEAN+A/CjBxZY79RjGw4ILSys3+n8SseeYIevl1QOn/+w3hFvXATxdWdODPdcBSOJ30iYbDEcvivVGWHj2PX5iKeqt1wAYsOnBecGI8fZDHvWeaPawf/mX2Y/5Ls8LlwjmmxZSxKX6/29mCd97maDWSWQulJ/uMyokKvHf4dwvNDL9dRZWBtZ+wZMGq3VFqrJ1CNGBdMFOxnvwyvWQhfZ8mqFgiQKfCxPps8wX97zqVbcAMZimdlgmdyry+KVgFv9AS8JttCXaBn1HhJwkH3QoVA2sBYd8DHTuOrW+fNGBtWb8RlXaagFCJfwFAvRrxC+/xK/TnIB6Lt5vBhk7CVgWVhzNFNrkep5KK6ZPDOlTp7x/quJYT9Z0z8gztfUVzy3GaSSqGRtlp+OP+/jinS2NsetYZK+KeM03h1O25pXg/ZuVop70BAAEy5rD7ZW5sLNZhJdIx9iPO2o4Kuqpw31nmdmWVISPJNlSz/5gFdWMEYq92+SZaiFktcJVhLQ8qMDYWS+7RwFnH5YiyKJhonJOAn80109da2wccV/hLacCvlyzgwURGSyvNdlpddyge1NLOCcuAgTrlZGq2RQDmvOWUJcoq9BXBMArLg5bEj45wMys85JUGjO+ujCSh7NYzlCnz5rQNlvX7f2zaAY50uAH/UYATj9H3PWYel3TRnZ9ghZ8hKUHfeVqhZ8IhdTStWQBgzmaTypmvaa0CWLP1B0oqkUMsTrI1v4OWhM4ZDkeEk7AK/CKD9sXRHlcZbu1vUuhenGBaSzlhWLhwBlFCrG0CYpGAuWg6prZas4KB73d7PwHfcua/zhYYa2IKz3be7Tzo5Jyvqf9BK/y0ml8cEw/VCfTY90/7HxnbQHexJaLkr86JLoDbaFSpmBYB3V9XsI/ub2FJaLZFMLAxnAmN0u/Tzl4RsKp8M8j6+UUQifY5Ufvm8dhPKx3vA/w9NHrdloDDGVueH4qNzw7B5ueGaPXcUoy+sbfx+KvreyX094+pk443Lj1BO1HJ0LuVmWR/Y6rpykDtuWQ4s4OZUGS2bh/EhAvtnIV4LN2ebwlyOmm609DK5ZxNB/B2jO2lSw5h/deiwJYWAESgcwxb+4XDEfhjv4HI6pfHVZyD0XRCn9ZtxWEsJkZp318UHbvqZdqP31SklCEcjpi2fLYBfyzQLDHH3jwHraAAcGusFYjRztnYm+L3WlT8ZeghYDBVlRvEPk8wHLFdS1CthvV7iywn0ELjGgCivzVjm+wrKrco9Oskz+g8x2wpE1nPANE58FeSuLYTDT/S4Qb8RwF0KWWAOAM2bnm0OpOeYLDIBKt0M9WiQYEN/E6E66jirpMe/iSf16C47S4os1gr6eJ2EnDvJrQi3cDjou7WKv6ns8yqgU7Qnkgm2EXVcTdRB7ejb6vA+kd1xZruON2swEQiEYtVny5+i40TH8YqVJRWqAOWKLMGq7EeSJv7jmoEUEZSkaCfXAZDtElQ4WeBtB0YJZ9+BuatTa0tpfunxPfgFzoQHhRpCDhJGABmQpAljShbQGf8GSRgUzB7MB2w8ZsmKb+eF00+6P4OuowMFfjF7fpnBjva/1EBvf1woeZXFT6vJ6HP2qtVHaON4eRq+A2dgJ7vtwvMBPsrF3W13ZeuFViCkxFjaCJBF7M2mqzG5ppjOE1w3PTlQqO6bWeJysCYVbxKvZNjAGb/d0FZwNBB0PFfZ8ltxpISaB7boh6n/2EUejT+viggLaoIGq0Vdg4nrPWNugw4pfQzUWfm2sCq6zrsLkCsF8J+T96yVhe8Yr8K9Bxnx65hlgBqTwphdmBsk+lr91nEY3XWpfQcHv85muzVbU0RYSTRI3OaRDzS4Ab8RwF+dRDwq7wvKzT7YflAh1nD1M/Sq+6wpAO1AmODsJMKEc0K5jmwFgTMXqZd+eUJ0VFpwPXyRLPCfjERFFHh5NbmYikUjmAtUblOdNHJe1O7qH7cOeBYLHr0TMx7+AysecpZgEGxnVT4ddCd9K/uLig3gr7rOIru3wlR/zlbaNpVVygoJW9VjF6qQ2c3KP2llUb/IQucdYWz2KKQ9q+zRMLF3e3vXaNCb6nw6wf82QKVfiZepMvO4Z0OZpPgQ2fsYEwJer7+mPsALywmgqiHH7FFt+71bOd1r4stzw/F5ueGYMvzQx05HADx987n1/aslnNy8c/CiTMQALw1zarZMaiDfTsRjys/Nl0dEgkyKMOySODcIoKKNn+BwEVABqM6G7t/a6YnxdmtisBazwrLg6gMhvHceGdODwB1+OAp/fbrtmtONu9XfvwH7FkGrMe+PBA2Am+n7NZ6nMI8K5aJnAtEoEE103BgrRE6a9cUwe/kRCibYiunu+JLgKk7a+MBS4XdKVg7lY6towt7uAH/UQBmRddHg87Svbk8m62bJeZ9itmCVacXGBCrpRpqrRqDHlM9pxM966nS7QFl3rm7C8qwdk806NCZ9ESgCQOd/nsA6NnS/B3mbjrgKEvLsOSxMy3PP766h+NjuHCO2hnJhvCMLp4/3wxwgqGwYYupGyBRsZ33Zmw0Fhq0HcUOMsr4M+fZ2/oBZlC4iAg85ScgerRql8moYfetzr3HgvVwBCiujC6SF8eo6LoCWKzHcTf53hhzoU9r+/FT1MPPAu45AsopD/YZaNLkizlRL+wSzYX/uV2t1kPbHToVsN+qqDxoCDiy5Kmov5cHU+kvrQwZ58wWnedp2iKJ+q7fu6Kb1r48qlKVX/d0NGn3yNDjLQloF0cueKeQeppj+TCFu09V8KBm3/FITpCSiu85YXx9PS9a4WdVdt0iC03KTl69x9LWpAs+YDaYnRpBa6Oa5u/E2E2LttmLDTLUSPEjOZYUZJpPhmC15rqxvqFQHxWso8LTOqDfIUtWMHaqztpX1L7LGKpOW3IXbLHOV2e1txfcY7i0ZzQ53qxWmsVWtqqwE+xjGOEgwXU0wQ34jwIUOaC19iL0tVA4YsmsXdZLTzG333FmwB8OR4w+nAaaFX624My1BPz6PfxssGGZarpQtvOAZmAZ3lcmrTPcBpom6KdLe5p1qw1UGIst+J2iZnqyEaxNvue0o4aOejiC0qjnb8kzFiw6glM8PpttXi+6yu6AXBhPt7LMFmmVITO4ZpR+J6JHotA8oMEPTU3yGX2SrI+fKQvrWtv9tSHa70uFipyI5ok0ABidXQcmpd/cnyUrdPvo+eQISxrp9mDSz8kWa4zWfHZn+7asjGSzh5ON28wWyas5BonGqgHH6y84qwvJfi+2PD8U15/a6h//2y6cY/I9p1XLcagNGE2+q3Bj37/nGtFtKWhAEhPhcMQotKT4vbbOGiLsc1BdB6xMhkRXGnEBvwNmJ7WWDSVgZerxeIwqf24xC/idJazZ+VfGBOu6xLRLdEFZSKyyn+ugwn9i8/i/t3l/NIHlxKYSALYcKOWSRvpFDNbawLMEdCFiKgD662eRG8v7CSaMjyS4Af9RgC0HoostHfEYPsPIMpw+r0d70OtHqOOrdheaAb9mppwNbOxvVwRDxgK6nsbAX1wRHaSYnRNVXdXtIWUVPrpw11Hp/jtAGQK6AkAMl/dqji3PD3VMa3Txz4IK/l324RyDyl5VG5leDkRqBnU0gznKDNDNqneOiUYt35lvvGba8tkHy0zjQ7RY1GVMGH38sb/LqvMnafYTi/rknVDyRRoAzBdYpy9dROln0BWApH8nEokY48eJmj2gtM+SOTawRMqpGpagHo+H9PFbBc+qMoa6uiQu7MDPc06V/hkmrTIZdboBb3uNdhc7nC9gwOgm6mlAtr+kwtJKmUiynwXdugwHwEwIUltgJ+DHDZNloMnMjLU1sDH7zm+WOPr7RrGJVfhLnFH6U5N8xhywr6gcbWPX431nqUUTRfhi9hYAzij9HRub60NW6GJr2UQ0AKhgpRPxbzbO844JuqAxRGmluQZ//Jx4XRURRIyMMx0wFI5UuAH/UQBWodbpwaEZxh8X7zQWfLXSk7V70ejifNqavYbFSn3NwIHdrKWVIZQHQsY5JPk8WgE7PzlsJSqhuhPfaQL65giNHl6Kv0PReXAn5/2ELg4v0OJE01pVC/h5b2oVaCXp3jFLjMcnaE70TCiLJdrKKkOoiDGEdCiRczdHqe/fx8QCaVWf96iWgQXMLMnHFLd1Le2uObkFAHPhCDis8KfFV/jZmHpizPJUvb/ZUsB7GF/aU49hRXt5C8uCxnFE6vsysMoUEwx0OoabSv2VFqaWk9aOLc8PNR47tbd0cfRi83ND8PTwjlj79CBH/fO9SCWfJux01wyi7b4hrgU6+O+ILo62p/D7vEbAvKegwgj0amuyGnntJdMKWf+eZfPVjjwz4NdpJWWgDh8VwZChhaLbVuCLtZXtd+iswFCnBmOXRvc3bfn0vwNK62fuTE71QwBgQaw1LtdwqLI/h4FEb4LNW2z9u0szCUOZuKxYCDhrjRK17759+Yna+1MR4nnEbasqhSuX4eoG/EcVVpDeWB2EIxGikpqYh+gPi3caKv26lH7qFTpj3T4j4K+ToZepTiHiLIn0UQEQUjidZgifGm7tfb7ptKpT/m50qaVHFXTtjACgtcCu0ckkRymRTJke0Neu4EWjKLMmQ8MOji0wl++MjlNUMyRDs61ApNQPQJvSyqozLNQOhsKmDoHGGGhU+EmF3onKPv0b1Mca0P8d6DUzc+N+w5ZMl04PALXTrYkTJuZaX1MAigr3USFYpzZvTPE9UXtLF0cfPB4P/tW7uWU80wGdr//7+7pqOZdemu0ADHyC4rVLujran1Vkv5izBd/EWomWarYC9SetmPRYTkTfWAvaKqL18cZlJ2jvz/7W+r3FxroP0E/YsuLW94uc2SAzMJcVluA0x379ljS+LQFITHSOJUrZ96CTuKHXz8KtVv2CdXv07HWpztTHf21WbClHq7rxaxFZy6AITWuZrYxXfzLfeOxkPUMTxkyL5WiHG/AfRbg2Vr3SxfS1+7AzlqlN1M6CCnbo9gLTm3pvUYXRx6WT4QSAM0mvZ3FFUFuwi0I0ySWSpaUYOTi+r0iFty6Lz4j6q3gOLo5cfH2Ds2pSdeO+s46zPF+x00ww6kzUTNCNVdepcJ3uvVczLTpGFJRWWiyOdGmpbGHJqmNUXVnHaUDUw8/owekp9gEIdRMorbC6ojjpoeT/NmCt1thhbqyq8vnsrQiEwkbyQVd4lVbq5hCXgKqOoS5c/F2ojqTS97f0sTxPpKr45wP9jcfDuuqJXPL4dsEOizWgDvoTseVAKEwU8vUDfmZtx6qyaUk+R/vTlk2n7iKAmfDVdWPiMSFmCfv8+DUIhyNG4ri2gwo/E2d94LtlxmuJVKbZHLQmJ2pJ57ToxovltRIUBESg18G0BCn5ot/Lyb2gm+CxA0sYJyq4faTB/RaOcAQJLbZlXWeDTsPsVLwTq47rqDPbIZHJb8bavQY9S0ewDwDSSDVxZ36Z44mvOsEGHJpt1MVQDYEsF0cOlj52VpX25+nWOv3W1Qm+79xplaVZTK9gV2yhw7Q/nGB1TnSc+mruNizbkW+8nqnLEEgzF1XFFUGDbQDoJdtEPfwlscSDyGNZhd+W77b0LyayCGpGKiUiX3kZSmPnunJXIfYXVyASAfxej/bCd2/st3ttynpMSsBhxIWLQwG392/jaPtuzWvj/Su6YWinRgnN+UB0HEx0zSCCLrvpZKL9sW5PEdbHvM+dVPhTOSZXmaaVMwMVd31lknOWxSU9om1PTtkdIuSXBYxikRNKP0MFqerrtsUBVpcrWqzSZbmx6jrPuBO1qYrQo4UzVsrfAZd+//fADfiPcLAMpcejv2BkAk3fLdxh6X8/GJi8eq9RXXLSS8bw34mJU/Neucjsp/v2pj6KLf8ZzH94wME+BRd/I7I5YaBEEgCPDDVZJF9c16vK5+QETHQPiLbSqCw+ReCrIEx0yEm1ho1Xa3KKsJ30keoylKhGSGFZwJGtE2COsSJLqo4OBTcXb8szqKUZyT6tlgAer081PcWdiC5RNX52DvUyU7S/R9rDS9tDXLg4nHBLv9aO9zmrQ0O85aBf+e/GOV307AKpbsn0tfuMxKsuMxMATju2ataVNNBLRPiPVcFZ3zuD7u94DWHBfh4TzQMSt2RmcNLKxLznAeAAET3VFfBl+iu5JZWWVoKquEjcP/A4+4040IRVdSSveLtvF87hBvxHOJjKaM20JG2VY6dZWRGqU9HeqR8sRWUo8QHv/BObYu3Tg7Dx2SHa1jzVjS3PD8WfD/TH+mcGO8q0uzg8seGZwWhdLwMz7u8XlwDQwfWntqpSdYhvCxhzs36iqwapJG3cV4xAOHrv0Z5AFfjqMaP0O3GmuO6UlgCAZJ8XuxNYMNIF5+6CchzvUHmbVfjLAqE4K0GndPY6NVIMtwRdKr0KTRzYitJKG6vW6wr2AVabSQZRX6cLF4cSfr79ZMtz3arqoYKWgnusu6ZwKx37qMCnk7Vcoq2f1QWWHGZFIuYwM6iDXv/4hr1mn3uiAnFUYT4RnH+i2cZBafm66/e1sRaA5yessbDkdF2yRNB16uFRlbXINVwL8odXdk/oOC5MuAH/EQ4m/KEjOKUCW0jr4sULOlue8wqwTrA0Rs1NRDjwj3VmD1Ii+6f4fQfdDqpZ7XS39/Uogd/nxZR7+6F5nYMTHPVpbVVU7u7AyifNIpZpehnram/U5BIcCw2V4krR5kKwe7WS9J0nig17i5AfE63TXTDSalhReRBhQsl02oP/7YLtpliepuApQ5pA7NHJYrxnS/M62BNLuOoK9gFAu4bx/dCiYMSFi0MJnZvWNKrBGxO09DuY+OTqHnGvndvFuQ4AU5cHgLqaKv8iLHjkn2Ul1o7NNX+u349IJIKcQuZUoDcH3UBEkRlLy2ll+QVu7esUtLBFW8p0wQQTIxGrbktVkjE0CfFP4fFzOlieH+xk0pEAN4o4wrEtN0pxZfRYHdzWP57+pEsLY+D9v/8gQjQ6SCe9YPO3RBf+exO0WmEYqLlod+HiaMZn1/YEALx6cVdHvXR027827DcCbt1EG1WXL6kI4pv52wE4W/RQCyhmAXdJD2d2mgxbD5SatqSaKs1+n9dwJCgsC6CY9ODrWtL1jfVant25kVGhcVpheXioM4FQHieRxM+YBdHfIb9UP4Fy+vHxi+R2mtaKLlwcTPxnUDtseX7oQU/0JwJRNb6qn8NpoLXl+aH4+faTseyJsxJiZfKJxQGCsUQHhWXm2KubdKaJgdenrAdgVsx1UVU2Fk06PP3basf702RvIg5VADDrwdMtzw9WT/2W54di5f8NrDY9i6MdbsB/hGPmhqglE+vD1MHF3eP9nnUUqlWo75BOdE7n+ASD36c/6IjmKKeWUC5cHI04rW09bHl+KIafkHhW/4dFO7G7IEqp1xXbpBXg/LKAQae/uLt+wE4ThTvyoslOJ1R0ii/mbMXkmOCcExEoJtK3p7AcBTFbpxS/V9tisW9MbDEcMcdtp4vIEd312ihkqJORbCQulu0osPyvA9H3dd0prqWoCxd/Jw4VsbPOTWtaHEec4PPrelqef+CAyt2aCFNTa8D0ZL3WjA6NzRYuppKfiJYAxbT7+jnaPlELbIZhXc21s26SmUdj0v716x2nVOl8qorDra3mUIYb8B/hYDYjTnCMIEucSE9+VRTqL+kZv8h3Ijp1ea/mca858TR34cJF4li+s8CwJwqF9TyIaSVq/uZcwxnkQIl+srI7URhmtNSwQ1vOLk2jmgFntKtv9LJSL3ldfDV3m6FDwLcrqMAWp78s3WVQUp0mLaqqUu3xeHAM11ZCvZETQaJWWS5cuPhncOcZxx7sU0C7hlbdFCdJDDpGvTbFuWCz6G85ES1kmD3SrJA7bWWqKnX9XMLGZed+VZ/49bAd2Nrdqdisi0MXbsB/hKM8oLfYtsM/nTnuGlMapRhwfAPt/SktyoULFwcPTWs5TxaGI2aQ3r6x/oJDRF/dnufMaeTsGLsoHDGr9d4Exr/uLWoZAb+Tate0taZK894EKf08lj3h3PGBWgsCwEUOmBYuXLg4ONjwzGDjsdNiy796Ow8M/w6sf2YwPrmmBzY/50xHgQbLLOGcnly15GciTg2NstOq1VrRiZYOFZhmbXElDi1hXRyZcAP+owQHS2U+UYgSDE560UQsBRcuXPy96N0qfpzRtROiuOfbpcZjSrNMBJf2jG9RUoEJ5FGFYxFjyA7fL9xhsBTWE/VnO9xE3ERYhb+BQ9E+AFj95CDjeInQa3kq65V9Wjjaf9WTA43H/x3RRbGlCxcuqgt+nzfhYJN3AkrEGrY6kOTzov9x9aul0FRaxWD3XIf6VX8HnGiy+AUCz/mlAcGWLo42uM0RRwlObVPX0fYT7+qLga/+AcAU8TqccYrDz+/ChQvnaJwdT/tu7MAOjqFTk2xDrO/YBO2RGHq2cJbsZNX0HBLw18t0TkdfuqMAxwnU6u3QhNBSt+dGg+5EhKDSkn3VKnaU5rBSlp7sx+bnhiAcqbpwmAsXLv4ZXH1SC3w6awsAJGQNe7gj2ee12Dk3SyBhXd0QMV6doJsDhoCLIxduhf8IRoTQYod1dSbAdVzDTCx9/CysenIgTmtbNV/RREGrhYloCIy6oZfx+Mvreym2dOHCRXVAZP+ZSLBHlfkTaQmgcNoTyYLrrQfMVgAni74kIi7627Ldjv42EKWD8nBqy1cdWFgNlloej8cN9l24OIzwxLkdqpWOfrhh3sNnHOxTwJ+cq1VVmQ5XJtDD7+LIgxvwH8EoD4RRt0YKvB6gbgIVquy0JG11078D39zYB12b1USj7FTMuN+ZrR8AnNS67lE9cblw8U/jxr5V084Q9Som+51NU19VMbknqqY7EcG7jLQQVFfvZFVF+BJBnRophogXaw9w4cKFi0MZvI2f03aimunJSInNOb/f3bfazssJaIL5ufM7Vfl4rtK9C8Cl9B/RSEv2YcEjAxAKRw7bKsvY204+2KfgwoULTVTVg1jEEHCKk0n7zvyHnVepnVLXeWQLLEzPbK8vOHoo4e4z2+LuM9se7NNw4cKFCy3ccGorTF5tCp8m0oO/9unB9hv9zahKoWrMzX0w4t3Z1Xg2Lo4EuAH/UYDDNdh34cLF4Y2OTZwJ7tUUBMuJ4GCyeo5vFP+ZUxyyFFy4cOHChXP0alXH8twpQ+xIQA+iW/Pbv085iGfi4lDCIXEnvPXWW2jRogVSU1PRq1cvzJs3T7n9mDFj0K5dO6SmpqJTp04YN26c5f1IJILHHnsMjRo1QlpaGgYMGID169cLj1VRUYGuXbvC4/FgyZIl1fWRXLhw4eKoBPVb//FWZwydRCyQDjWIFpiDOjZ0dIz3ruhmPL7YtcNz4cKFC208NKQdAODbm/oc5DM5eGDtrB0c2Nq6OLJx0AP+0aNH45577sHjjz+ORYsWoUuXLhg4cCD27t0r3H7WrFm49NJLcd1112Hx4sUYPnw4hg8fjhUrVhjbvPjii3j99dfx7rvvYu7cucjIyMDAgQNRXl4ed7wHHngAjRsffNsNFy5cuDgSsOjRM/H25Sdiyr2nIUlgEaRCq3pWRf7T29WXbPn3gvaBfn+Ls0XjSa3jHUFEVX8VBnZoiIu6N0WvlrXxwoWdHe3rwoULF0czbuzbGlueH3rY2VG7cPF3whOhUu4HAb169UKPHj3w5ptvAgDC4TCaNWuGO+64Aw8++GDc9hdffDFKSkrw66+/Gq/17t0bXbt2xbvvvotIJILGjRvj3nvvxX333QcAKCgoQIMGDfDpp5/ikksuMfYbP3487rnnHnz//ffo0KEDFi9ejK5du2qdd2FhIbKzs1FQUICsrKr5RLtw4cKFiyhaPPib8XjiXX0TsrarDtw/Zil6tKiNi3o4r7DTzwBEPekPpgCqCxcuXLhw4eLIgdM49KBW+CsrK7Fw4UIMGGAKK3m9XgwYMACzZ4sFJ2bPnm3ZHgAGDhxobL9582bk5ORYtsnOzkavXr0sx9yzZw9uuOEGfPHFF0hPP/g+my5cuHDhAnj90hOMxwcr2AeAl0Z0SSjYF8EN9l24cOHChQsXBwsHdRWyf/9+hEIhNGhgVTBu0KAB1qxZI9wnJydHuH1OTo7xPntNtk0kEsHVV1+Nm2++Gd27d8eWLVtsz7WiogIVFRXG88LCQtt9XLhw4cKFM5zbpXFCysouXLhw4cKFCxcu4nHQe/gPBt544w0UFRVh5MiR2vs899xzyM7ONv41a+YKKblw4cKFCxcuXLhw4cKFi0MXBzXgr1u3Lnw+H/bs2WN5fc+ePWjYUKxq3LBhQ+X27H/VNlOnTsXs2bORkpICv9+PNm3aAAC6d++Oq666Svh3R44ciYKCAuPf9u3bHX5aFy5cuHBxNOBotIJy4cKFCxcuXByaOKirkuTkZHTr1g1TpkwxXguHw5gyZQr69BErI/fp08eyPQBMmjTJ2L5ly5Zo2LChZZvCwkLMnTvX2Ob111/H0qVLsWTJEixZssSw9Rs9ejSeeeYZ4d9NSUlBVlaW5Z8LFy5cuHDBY+1Tg4zHG54ZfBDPxIULFy5cuHAhw/bC7Xhx/ovYU7LHfuPDGAddSeiee+7BVVddhe7du6Nnz5549dVXUVJSgmuuuQYAcOWVV6JJkyZ47rnnAAB33nknTjvtNLz88ssYOnQovvnmGyxYsADvv/8+AMDj8eCuu+7C008/jWOPPRYtW7bEo48+isaNG2P48OEAgGOOOcZyDjVqRK2gWrdujaZNm/5Dn9yFCxcuXByJ8Hg82PL80IN9Gi5cuHDhwsURi+LKYpQFy1AvvV5C+z/818P4eePPAIA/d/yJX877pTpP75DCQQ/4L774Yuzbtw+PPfYYcnJy0LVrV0yYMMEQ3du2bRu8XpOIcNJJJ2HUqFF45JFH8NBDD+HYY4/F2LFj0bFjR2ObBx54ACUlJbjxxhuRn5+PU045BRMmTEBqauo//vlcuHDhwoULFy5cuHDhwkX1IL88H6eOPhUAMP2i6aiTVsfR/qFwyAj2AWBL4ZbqPL1DDp5IJBI52CdxOMKp/6ELFy5cuHDhwoULFy5cHM0IR8KYtn0aOtTpgIYZYs02FRbtWYSrJpiaay+f9jLOanGWo2NM3z4dd0y9w/JajaQamH2Z2Bb+UIPTONRVFnLhwoULFy5cuHDhwoULF38rIpEI3lz8Ju6adhfO/O7MhI5Bg30AuHfGvfhjxx+OjpHkTYp7rThQfMT28rsBvwsXLly4cOHChQsXLly4UGL85vEYNnYYdhTtSGj/J+c8iQ+Wf2A8ry6i+W1TbtPetiRQgneWviN8b2vh1mo5n0MNbsDvwoULFy5cuHDhwoULF4coAuFAlfaPRCI467uzcO3EaxEMBxM+zgN/PIBNBZsw+IfBKKoscrz/d+u+szzv/HnnhI5TFby68FUs3bdU+F6aP+0fPZd/Cm7A78KFCxcuXLhw4cKFCxeHIH7f8jtO/OJEvLn4zYSD45m7ZmJ3yW7Mz5mPE744AXN3z3V8jPeXvW95ftLXJyV0Ljzunn639rbVUYH/Zu030vd+3PBjlY9/KMIN+F24cOHChQsXLly4cHHEIBAO4NJfL8WXq76s0nEe+esRdPqsE4orixPa/5UFr6DTZ53QZ1QfLNqzKKFj3DvjXgDAe8vew0lfn4SKUIXjY0zdNtXy/Prfr3e0/7q8dXhj8RuO/y5FOBIWvu736JvGnf3j2VU6BzuUBEqqrc3gUIIb8Ltw4cKFCxcuXLhw4eKQwKI9i3DKN6dge+H2hPYvDZTi7B/OxooDK/DC/BcSOkZZsAydPuuEnzb+BAB48M8HHR8jHAnjk5WfAIgKwvFic7rH4LExf6OjY8zYPgNj1o1x/LcpRq0eJXzdSXBcUFEgfL1fs36JnFIcFu5ZWOVjjNs8Di/Of7EazubQghvwu3DhwoULFy5cuHDhosr4Yf0PcdRvp7hqwlUoqCjAkB+HJLR/r1G9sKtkl/E8ker8TZNusjzfkL/B8THKg+WO9+Fx1fj4JMGvm351dIzbp94e91q9tHqOjiFjFRQF9FoMCioK0Hd0X+F7o9eOdnQuMlw94WrsKt5lv6ENvlxdNVbIoQg34HfhwoULFy5cuHDh4ihGXnkeun7eFQ/MeMCxxRk9xuOzHscbi9/A8LHDpRVdFbp/2d3yfN7ueQmdC0Wfr/tg+b7ljvZZvHex5fnO4p14ZcErjo6RX5HvaHsegXAAS/YtiXt95f6VVTouAOwr24cf1v+gvX2Phj2Erz81+ymt/SdvnSx9b0P+BszPmW97DB3hwvV562236VS3k+02RxrcgN+FCxcuXLhw4cKFi8MUJYESLNu3DPNz5qMkUJLQMfqO7otQJITxW8bjtim3YVP+JsfHOFB2wHi8sWAjTvnmFEf7b8jbEFdJvu7366qlp/qycZc52n5wi8FxrzF6vg5ySnIw8PuBca+fO/Zc7WPIEiaL9i7Ckr1LtI8jw+OzHtf+bmUV/glbJmj19n++6nPl+9dOvNb2GJWhStttknxJyvdD4ZDtPXJ/9/tt/87hBjfgd+HChQsXLly4cOHiIKIqQW3vUb1x+bjLce3Ea9F7VO9qOZ8Pl3/oaPvSQCkuH3d5lf6mrCIejCRuI8eQ7k93tH1WSlaV/t6Z350pfH1zwWZsyNNrD1DZ510x/oqEzsvJ32DYVrgNz859Vvq+TgtHm5ptHJ2XCDotEvtK9ynfv2HSDdhUoE5mdW/YXfn+4Qg34HfhwoULFy6OciSi+szj4b8exl3T7sLUbVMT9nkev3k8hvwwBGty1yQcABVUFODycZfj0xWfJrQ/Q6fPOqHTZ50SoiVT5JTkSNWpXRz+2Ji/EXtL9ya8f0FFAZ6e8zQ6f94Za3LXVOOZ6SMSiSDZm2x5rW2tto6O0WtUL5QGS6t0Hh6PR/h6WbBM+xjbCrcJXz/9mNO1j/HCvBeqra9cBN3Pkyhbwwl0frOhPw5Vvp+ZlGl7jA51O2ifkww689S3675Vvi9qHRg7bKzleZo/zdF5HQ5wA34XLly4cOHiICESiVhosIkeY87uOcgrz0to/2X7lqHPqD7o9FknPDrz0YSC09JAKX7e+DOmbJuCO6fdiRO+OCGhc3ngjwewvWg7RvwyArdMucXx/ntL9+LK8Vdi2b5leHnhy1iXt85x4iCnJAfDxw43nt/w+w2Oz4MdZ+SfI3Hmd2dW2a86FA65SYNqRl55Hj5c/mGVgvWckhwM/2k4zhhzRkIJqj0le3DKN6cYweWIX0YkfC5VQefPO6MybKVL/7b5NxRWFv6j51EaEAefukm3UDgkDU6dCN1Vh2hb57qdpe/pJkaqIxFrp4HgJJkiw5UdrrTdpqptGeFIGP83+/8sr7102ku4tcutltfOan6W9BiiRHS3Bt3QumZrNK3R1HjNDfhduHDhwoWLIwDV0RP64/ofMXHLxCod485pd6Lft/0wa9eshPafsm0KOn/eGTf8foNUAdkOl4+73BBDGrthLOblOBfJGr95fEJ/m2LF/hWW5zN3zkQoHHJ0jKvGX2Wha17w8wX4fv33jo7x7tJ3sbHAtL1anbsaU7ZNcXQMIErpZUFGopW6tblrcdX4q9D1i67o8nmXhIP+mybdhHum34PJWycnfIzSQCnGbRqXMHuDwelvKsLivYvx/TpnvyuP63+/Hq8teg1njDkjof1zSnIw9AczuJy6fapiazGmbZ+W0N9miEQiePivh+Ned6riLsKa3DU4+euTq3yc5+Y+p7VdJBKRjoO698/c3XNt/0ZVoXuMuml1pe/pBNnhSFhppZfiS9E6j+t+v075/rJ9y7SOo8LHKz623Uan/14lyjd129S466NHgx64pas1Maw6Bn8O9dLq4c3T3wQA7CjeYbzuBvwuXLhw4eIfxa+bfsUnK/SFgkQorizGl6u+TNgiKBQOYU3uGuwt3SutwNghHAnjkb8ewXfrvquSwvCUrVPw7NxnEz4PAJizew46f94ZP234KaH9w5EwJm2dhMdmPYb7ZtyHQMheOZhHKBzC7VNuNxb8d0y5I6FzuWvaXQntp0J+eb6j7VfsX4EnZj9Rpb9ZVFmES3+7VPi6E9BFGwNfFbKDKEHg9HsWBQX3zbjPcbB9y+RbsGjvIuP5nF1zHO0PRHuGZ+2ahUlbJ+Hu6XfjrO/kFTAVeo3qhf/8+R+c8MUJeHrO0wkdY3PBZnT9oivO+PaMKtHXrxx/JZ6Y/QQmbJmQ0P5vLH4D6/LWGc8TTejQqvhd0+6yDTh5pPpT416T+Z2LMGHLBPy88ee410f+ORJrc9dqHaO6mCOyHu1Ra0ZpzT2PzHxEWlkf8csILWu9rUVble93/lxeddeFLuOnIiyvzuvMX5+t/AzfrftOfnyN6n9OSY7tNtVhY6eTwOC3mXHxDDzS6xHLa6qkgEgwURSYv7boNWkykD/+Z4M/Q43kGgCAC9teaLyemWzfonC4wQ34Xbhw4eJvwIa8Dej0WaeEF8ZAlMY48s+ReGXhKwln4bcUbEGfr/vghfkvoN+3/RI6xmnfnoYRv4zAGWPOQK9RvRI6xrNzn8VPG3/C/83+P1zy2yWYuXOm42OEI2HcNf0ufL3ma/Qa1QsP/flQQufCFmyPzHwEc3Y7D6DeW/oe7pl+j/H8naXvOKZFztw1EzN2zDCeV4Yrq0Vs6/yfz3dUQRX1ub+//H1H7QHXTLhG+PqDfz6ofYzdJbuFr1dHpfJgYPn+eAuwiVsmOr6P95VZBagmb5NbW8mwv2y/5fme0j2Oj8Ej0f5mplC+t2wvRvwywrFVWjgSxo/rfzSe3z/jfsdBdigcihMZu2vaXdVS/b3+9+sdbZ/kjVcUf26eXkUcAJ6Z+4z0vVcW6lnIVQdtHACKA/KAXPUegyhxQTHkhyG2xxB9n9WNuTlztSzk6qTWkb43ao19Ukf391NBp6r+8sKX48YIp+jRsIfy/vll4y9xAXvt1NpoVKOR5TWV4B4/dt7d7W6kJ4mFGGUJaL5FpUZSDeNxdnK28djrOfLC4yPvE7lw4cJFFTF712xcMe6KKvUvnvfzeQCiC+M/d/zpeP+dxTstlkaXj7scC/csdHSMQDiAc8aeYzxPlFZcVdEyID5AcLKoZeAXjb9s+sXxMR6b+Zjl+Q2/3+CYLfD20rctzz9Y/gGGjR3m6BgiVWOnv48osF+ftx6PzXpMsLUYLy98WXgMJ+0B5SFx9e63Tb9pLyQnbBZXal+Y/0Ic1f/vxC8b5deUbiIlEolIA4LtRdu1z2Vj/sa418asG2OrME0xZesULbsrFcKRMJ6Y9UTc606DhNzy3LjX3lr6lqNjPDrz0bjr22mQnVchTmYlUuWvCjbkbXCUFBNhSEt5EKxT3QWAimD1BPyqv5cou4xC9rtR/FNUbDsK+4KcBcoExtJ9SxNmmFH0GdVH+f62IrGAIY/+3/bX/pv9m/XHX5f8ZXltfs58JXviob/EyfndxdZE7zljz5FeR6c1Pc3y/NqOzsc1vh0p2WcKVV7T8Rp0rdc1jnVwpMAN+F24cHFEIRgOYuGehbhjyh0JLzJunHQjluxbgpO/Phk3TbrJ8f6PznzU8vzWKbdifd56R8cY9P2guNeunnC1o2MsyFkQ91qnzzo5OoYITntwRQGKU6Gs8mA57pl2j/2GCgTDQfy44ce41xPpWechq1DL0LFuR+HruvTacCSM5+c9L3zPrlLGoOp1rC7oJjHa1pYrgouo/jwikQgen/W49H3dvnPZwhTQ/77Gbx6PVxe9Knzvs5WfaR0DAIb/NFz4uhMRwbum3yV83cn9N23bNGGbg9Ne/tNGnxb3mlOmj+61rUJZQMzG+acF6lhSWARdtkGjjEbS905qrCcUKUvYOYHdvKJT4beDjq2bTkXbDjrXdfOs5sr3r5koZj1RPDJTHVjqfN7iQLEyIS+yIlzwr/h1gRP0b9Yf2SnZ9hsq8MKpLwAAOteLTxLIdHHqpJmMCZ498dWQr7T+Li9MSQP+7JRsfDHkC1zc7mKtYx1ucAN+Fy5cHFLYWbzTcQ8xQ1FlEU744gRcPeFqTN8x3VHWWoZExNTGbhgb99pHKz6q8rk4haza4YS6+u7Sd+Ne6/pFV0dVf1H1uyxY5oix8NScpzA3J56664SOuqMovr8bQJU1EpwiEolIKYO6rQEzd87EN2u/Eb53+fF6XtjVVdlTYUvBlr/9bwDR3vAf1v8gfb+qVW4A2terKig9qYleEKZKqlVFVZ7BiVAd7XWnGPLDkCqzfzrWESe+ZOCt4xLB9mIxy6JZZjPtY4jYFwBwfO3jEzonHrrjmmq8qJdeT+sYiQqGMujMJ4UVVU+mZCVn2W6jk1iwS9zpKOhXh6e8HXj3lg51OuCuE++K207FUOMD3OVXLUeKLwU9G/ZM+Lxm754NIFoRTwTXdLgGQ1pFmSnHZB0T974s4VI7tbbx+EC59bvpXK8zBrWIL5Lw4O8rv8dvu8+RAjfgd+HCxSGBfaX7MPC7gRj0/SCcOvrUhDL1/II/karCfTPuc7yPDhK1TKsKQhFx0KAbVO4v24+3logptzdOujHh82JwwliQBVHdv+yuvTiWBdlO/Jn/2vmX/UY2eHXRq/hi1RfC93Qr4j9tlNNBv1qtV+2ojgq/naXgm0vetD3G/Jz5uH/G/VU6j71l6iB48d7FVTo+ANw8+WYtps7MXfKq9a7iXVrfu5342D8JWc9/IBxwxFgQYcWBFba2YRR8AOMUWwu3SllbTrzRZeyL1bmrlX3IutBlp6nOWecYs3bOUjJjANiK5em0dlSH9ZtOIP7i/Bctz8efH+8eokp0VoYq45wJ7u9+P+7rbl0XONU96NesH05tcqqjfWqm1rTs/83Z3+DajtfGed7L5nlA/lk/GviRZT7sVFfO0HhmjlUnom2tKBvr1i63olcj55o+lN2WkZSBb4ZaE9c1U2oK97MTx1W5IjDwrEePx2O7z5ECN+B34cJFtSAYDmLpvqUJWzadPuZ07Cox1WITEalL9cUrHsuqUyJ8t+67KtusySjZA5oPcHSc+mn1q3QeOSU50oBal7r65Sq5F7HTFoWqQiWi8/Fye0sgQL5I+++C/2L1gdVax7hlstwbXtRCIYKq//OMMWdo9d6qrlOdShhQPQH/gDHq6/qK9lfYHuPfU/9d5fMYs1ZuX6ULnXaKpfuWVulvTNwyEc/OfdZ2O12F9apAlymgUtP/YPkHWsdQJbLsbMMYVGwC3Xvv7B/Plr5325TbtMYBu7np9DH6CUQZluxbYrvN2ty1+HTlp9L3J22dZBv06/x+fb7uo7w3IrCv8G8u2Gy7DUWvhr3wYl9r8G7HEuBb6QCgaWZTTLzAOlaqrnuRDd6gloNwVYerLK+p1PN5XNvxWrzW/zW8PeBt/PsE/bGOBdYAMH37dADRAHXChVa9E9WaqywkT7TQ31QkMgpEg2yeSXZl+ysBRB0mhrUeFre9HSiNHgA61O1gef7b5t+E+9klWcZtHqd8f97ueZZWq6kjnNtoHs5wA34XLlxUC+6edjf+Ne5fOOGLE6rleM/Pe75ahH4u+PkC7W1fXhAvYAZE+xN1rddklYwnZz+JbYV6AjrjN4+XViyvn6gnUHXmd2dK39Ol4cr6zAHAg382M35Kk1Ok78mUeikCoQDeWPyG9P2Lfr3I9hh2lTudvk0dqH47BpVgUWFlIT5arm4hCYQCtvoUOloNwYg6wTdv9zzbxIIdE0enciPqBeVhN57oJEA25G+w3ebsVvKgEtALFnQ+sx3sxEJ1x4Gu9btW+Vyqg9JNRUx5XDPxmmqpIuuMA1TZW4aqKv7fMfUO26Tqhb9cqHx/Q/4G9Piqh3Kb1jVba53PlsIt0vdEbLyxw8Zanr+88GVbJgfVIzi16akY3HKw5X1aEBBB1EoHxPvVq44zY/sMy/NLjrsE9dPjk+864wDDgGMGGAlrXvBVBVmSjP881O2FIhgO4qX5L2n/PREW7rW2MS26YpElYOevn4JK+zHFbhyWsSEpu4fS+xmGtVEL5/KsOt2WlyMFbsDvwoULbC3c6tjaiKLTZ50wfcd043l12ButzVsrFHmS4d7p9+LpuYlb4AHqIEqkZi6CbNEBAEN/HKp1jAf+eED63tycuVXyoAeAubvnav1GqqC+qtRap8ivyJe+1zSzqe3+by992/C8TxQ6FdHqsriyA7/o4yETjWP4eePPtovWnl/1VLbW6FyHP238Ca8vet12OxXS/em212t19PduyrdXv9dpl1BRbHUQCocwdZu6+mSnJ1AZqsStU25V/x2N83x90evKz6xD6S0PluPf06rO4rCDEweEqkCHBmw3PuqwSara5qKDhhkNLc9PaXKKsAq9LlfOlOM/64QLJggTCSomxwU/X2ARPpUlx1mlWwfTLoqO97yWzS2Tb5Emu1YcMB1BMpMz8XDvh6XHl2kN8YnDJJ9pFahyVaCoCFVY2scykjKMx/zYL/ssj818zDJn3XnindK/161BN+HrPGuStz3k5wcdhqedc4DoOxq/ebylZfPHYfHiu7VTrEkA/tzoGvVohBvwu3DhAmf/eDau//16fL7y82oJ1lX2LCLsKRH3iOr07DH8vvV36Xu6n6lGsrxyIxN8o5i9a7ZUOb06kVOqZ7ckw0sLXsK7y+LF+Hio6ICtsltp/S27/k6d32ZD3gYljVYn8Pxw+Ye221QHqoOVwtsPiaCr5i+DjohkZbhSSWHXTW6oaMc62Fa0zZb2r6P5odpmT8kereouX3Xk8dnKzzB+c3zfsBN8ufpLfLla3k4D2OtfFFUW2f4dnd/PjvLdIquF7TFGrx2tbAuoLkzZ+s/Y6unYrNqNAzptO/vLndke6owbPGiAlpGUgXcGvIPrOl2HJjWaWLZTVcWX7rWOEUwZ/vxjz9c+D7717pau0dapEW1HWF6/Y+odWsd7qNdDBktGxACTadPc1NlkPdndQ6eOFvfk833zlHnC09ll6P5ld8tzvs+dolVN8VxMbWs71OmA6ztZ2YH03l22b5kwcbC1UK0l0r5Oe8tznXH4jGPUgqGiZBktgvRt2ldY4aeJFSDqCiKbJxO5Vw53uAG/CxeHMcqCZTh37Ll4e8nbCQfqdL+XFrzkmJYsmxSX7F2itX84EsaA75z1tzuFbmCiChxlGXAKVX+3LnQCOTuhNB28vcSeWqj6PjYVbJImahjKgmW2Tgnr8+21AFT2VYBz/3oRVBoBDDr2VdVhC8VX3XhsyNuA95a9V6W/oVsNVV2Povuqf7OqO2OIoKrOFFQUxCUVrulwDU6ob20vUo0Doh7Wzwd/HlcdtAtw/7vgv8r3dfDbJnEPqxPo3BOjVo9KWHOFQSfBVR22lzrtFm1q/f3K6QDg8/pst1G1F5QGSjHw+4GW185sHt/GM7iFOrlEcU6rc/DSaS/hmVOesd+YgDqUsGvG6/FiwgXWPnGVDR2fDKiVWgsA8H8n/R8uONa+pY4P9ideMNEI1h/u9TC61utqeV9nrcNXppdftdzioPD1mq+F+6nGu0kXTtJqZeNFLqkTRZ9GfSzv6Th/fHfOd2iR3UL6/hervrBdN/RoGN/aQdugAuGAsGXGjs3CV/xfXfRqXCsY3w4pUuanGLthLHLLc6Xvd6nXRfj68DbDLUyI4kCxdD7OTM4Uvn4kww34Xbg4jPH2krexuWAz3ln6Djp/3tmxRdLmgs1x1XgnVmmAfGFplxlmUJ1zdVgwAXrVeUBdjdahv1aVygtUT4W4OjBv9zw8Necp5TZ2iRodIbULfr6gyv7X07ZPs10E8hUrHjqJFp3EkUqhXRd2i0q7BAiD6jvhg2EAeKXfK3GvqX4b/vvoWKcjHu4lp8DKUCullvHY6/Fi3HnjHKk//+eP/2BHsfUev6f7PXhnwDuW137a8JP0OxH9/un+dMy42Nof67RlIzM5EyN7jnS0z+rceOE4UcuCyr60KGBf4R+3eZxQpMwJftr4k22bQ700+15Zu/tXZwzXSV7onIsdaFABADd0uiFuGxU77ddNv8a9NrzNcHSoYxUv0xHDYxjccjDS/Gk4t/W5cWJ3Kuiy6GTzUjgSxoY8eWuQzBrWcg5cYplS1n1eHx7q9ZDlfZ12Mru/KwsaVUndhhkN8dTJ6jkRQFx7JK08t6vdzvLe1ROutk0S80E1j1UHVuHiX9Xe8X5vvP3c3d3utk1029nW8QmBSVsn4YcNJvU+EongxC9PNJ7/MvwX4eehyvw5JTlCK18G0dwFRO/LX8+z3ls0UejzmIk6HX2aIw1uwO/CxUHCD+t/QKfPOmHcpnEJB3n8wnDELyMkW4pxw+/xCxWnkFUKqQCPCqo+4urqE9fpvb5y/JVKGq1Ohcmp7Y4IOsJT1ZEUaJndUvm+rnK2CiqhJwqVZoEOZu2aZdtG8k9ZZckshRjeXWptpWhTsw2+GGwVE7ITwhNh/Pnj4+yaVNcs7zl+X/f7cGqTU+MSIyoHBD74/eCsD9AgowE+PMtZ+wStmF7f6Xo0y2omZArIFmmyJAtPn/1oxUfSHuAw4gP+mik14wKHlQdWOqqKB8NBXHb8ZXiw54Pa+4hwQdv4SumCPXJlepGVmiihM3vX7CqdFwDbNiaV+CfD5kK1irtO8Gt3f67JXYN9ZeY4UD+tfty9ZwdR29a/T/w35lw2x/KayoZVlBg+tcmp+OZsK21bFYzxyR56nerSxgGrErwKsu/2+/XfY/K2ycZznqmgkwDlA8BUv7pvXOf+4+ndgHW9NOAYcbLaLvi2+273lu7Fc/OeM56PO9+qHH9M1jFxY8GivYuUxxQF6/wYa9cyIxo766bVxWeD1LaaOusePrFKxRl59gc/7zB8OcS69lJp9qgSIPzvQ6+Vc1qfY76ewBx7uMMN+F24SADhSBjhSLhK/e7M+/Y/f/7HVklXhOt/vz4uk0xFb3RQVQ/SiVsm4tqJYqE7O4EsBrtMvK6nuAo3Tb4J83PmK7ex8+nWseOyC6J1oBPwf7LyE9tt7KBr3VYVqCZty3aKSmV1ga+siKBaNG0q2IQ7p1lFj2ZcPAPzL7deVyqmQCgciusd7dagW5wK+sTNE7GzeKft+VI0zWyKF/q+YHlNtXilVfUG6Q1wVYerkOpPjauQnNFc3m/JH59V5no16oVzWp0j2iUOry16zcKsYXT2i4+7GLd3vd2yrZ3YEw+vYIkjs5/iF8RvnfEWGmQ0iNtu7u65ePgvMYtBFIj897Qoxb8qrhbdG3THdR2vi+uXVSn58+Pvgz0fFAY5ToUsnQbIQHyweMGxF+CN062OGcPGDlO2EPG04J+G/YQfz7UKd9klGPmE+N6yvehav2tcn7gKN066Ufg6H4So1ga8/snyq5YL52JVFZJPttHfe+ZOPZbRxvyN2ra1ssr3k7OfNB4PbDEwLqlE7fj4hCQDP+fxdHw+2aPjmKMSGQTk6xO7pJFdwE8tNzvW6SgMcC9rd5nlOS/CFyf6JwhwezXqJa10iyBbM9iJv+oE/Kc0OQXZKdnGc/od8QlWWTtM86zmSlFBClECxPjbHCt0bo65Rqb3THVY0h5ucAN+F0cdIpEI/tr5F37Z+Iv9xpL9u3zeBV0+74LOn3e2DSRFENHYnSqvi1T1ezbs6egYsv77Kdv0xI/um3Gf9L1Rq0dpTcx2Aa6OCJ4OHVuWmNDFzJ0z8cEytYCVznlsKlArgfPfR8+GPfHsKVbf7vk585V/q9NnneJe4yfTRPzE+QAMUC9KRQuS2ZfORoN0ayClsjETLZyZD7ATUGulJjWaYO5lc9GvaT/LNiN+GSG9HkUUw9qpteMWTHdOuxPL94mDyjm758S9Jkq8FAWKMOj7QcJjiPDz8J8BxLctqBgydPFDe075xZQsIZdbnotLf7vU8hrdl3oiqwJTXkyRXdd+rx+DWlq/A92gecqI6Pjl9XjjKpg89Z+BDyr6Nu0rPb7M75lPgLx02kvGcXi7qhfny2nXJ9Y3KbBNajTBh2d9iOyUbIwaMkr591TvXX785fB4PFXSWHisz2PoWr8rzmuj11LCwN9TT5z0hLB6LUvobC/aHmdBVz+9flzP/tzdc6XjomgcObnJyQDivdfHbVL7eVOc2/pcAPH3jcomUFfAUDU38vf2MZlmX/SJDU60vCeriA//abjlOV+NptCxlBUFjzRYbZYlru7yyQQ+KOTbMERtNfw8dPoxpyvPVaSBsr9sv8UyU1T9tmszpPOMrKDCv85/b7zonwx2RYqTGp9kPBaJ3AHxCQx+zUbXKxcfJ28boPs1rtHYeOzEXlS3hVOlYaSq8NNzbJiu1sk5EuEG/C7+UVSlIr63dC++X/c9rp14raMJmWJBzgJ0/rwzbpl8Cx766yFL9lkXvMiY00CyNFAqFEepDg/heTnzMHHLRO3t+Z5Bhrum3aUUTdHB3Jy5OHfsubbb6XxuFYWPJWD+Cby+WG0vxi9c/rj4j7ggbNjYYdIqQmmgFOf/bFU2frHvixYqGoNT0TZeodcpLmt3Ga7vdD2uaH+F5XUnPc3zLp+HGsk1hJY6MvCZ+I8Hfoz7e9wfRwFUYU/JHgvtdGfxTqQnpQv9xZ2yDUSLusvGXSbYUkzlvalLVBXaTmNAhlf7vWowS7JSrMmDmybdJKxkBMNB7aBDFlS+sfiNuNfod9G7cW/jMe2dpBDd+5SqyrcF6VRlOtbpaCy6PR4PRp892iKCKFPQV1X27GivDPx3dWzNY43HdVLrWN77YtUX0nGNBsPFgWIjAOIDIVlCZ2/pXjw681Hhe6+f/rp26xE/z7J+3sf7PB43DsgQCAWEmgQiKvk3a8RK5KKkr8hRZeWBlVI3DtG18+RJ0eo0L8j6nz//IzwGj7NbnY2nT45awYoSGDIR1/eXva91/Gnbpwnvv3AkjCE/WK3LqFJ79wZWhXcd0cTX+r8WV42mSeJRa0bhnaXv8LtZgjRRJbpNTTMpIwtk7QJcXmBN1CZAmYBnHHMGjqt9XNw2dtXs/t/2N+bwu7vdHZc4AexFZunn1dVU4nWQ+HWEiGkE2Kvd0yQITURQ8NftxoKNxuN9pfss3vWP9H5E+reoFgQtjDgprMnGMz5ukH0WIP7zsIT6iv0rLGuA20+IL14c6XAD/iMcy/ctx82Tb1aKqtghGA6i02edcOo3ifcn/7HjDzwx6wmc/M3J2FKwJaFjnDHmDDwx+wnMz5mvPSHz4BXoE7Hq0s2+yiDrE1f1/DmBqupOsa90H1YeWCl9X+Unz2AnrCWrplHo2EepBADtvMQZaNVMB/d3d+aBHAqHsL3Q1DPwe/yolVpLKGIm65sV/XayzLxMZV/EIPhp2E/CbXWvuYd6PYSRvUbC5/WhdbbVX1mVsOEX2axazC/gVMJR/PGZ5VOXel20BJQAubjgWS3O0tpfBL5vUQd8tXz5VcuNRajT642BVjT44GBN7hqhn/t9M+7Dkn1LtI7/66Zfhf3gtBIGRDUAKGiQv6d0j5D1sKvY2t/53TnfWRSc+WqNjqbHiOOs9Gy/1y9NOFCoruMTG5yoJUbIJ7/odT6szTB0qmtl3sgCflqlVgUNsmTbw389rJ2IG9pqqPD1faX74uZZllDyeX1x6uuyyvptU27DpK2T4l5vmNEQ351jvYZqJIltURfkyLUKeIgSUUD87/vL8F+MwOHtM+LHUh3GXeMajS1JLr7FQCaAe9FxcvvH1/q/ZjwuDhSj25fx7jAfr7DqavCidg0zGqJfs37G85sm3WSbwBcF69d3uh5Xd7jaeC6ac+gYKlpP0NaNjQUb8erCV+O2Udm/AvGJruzkbMvzUDiElxa8ZDznW5uM/QjtXOSKQCFLDvRqqF7z0PtAtwWJdwzg712ZloOI5Wl5n9DZRcKSQPxcTBM4p48xWRIqlwYeNHHUu1FvxZZWyJhT/DipqzsBmHMiZaM91ucxy7VwtMAN+I9wXDbuMszcORPn/Xyeo8ovw8r9K3HCF1Fabn5FvmMVeCAa7N825TZ8v/57FFUW4cE/qyZexFAdfvE/b/xZW00eiFKoRNU7J8r2lHpHcd7P59nSvasTp485XWndRHt8Zaiqiv78nPla14OKyivqQRUtzptmNtU+rxdOfQFXdrgST/R5Qnufc8eea5lgGa2tT+M+ca0W8/eI20D+3Gn1d76u43XGgvLN09/UOo/CCquq+qQLJ0l9evuOltOWKajgHf9ZVKrGqw6s0jq+KtjiK6+0Ss6rZeuCLZCbZTbD2GFjLe/pVJGvbH8lTmlisnQ+GainqaAKws5ofgaeO/U56fsy0Hu4fnp9NM5obHlflFDjW3b4lhGKdXnrtBKsV3W4yvKcrzKKxk0+yLBjOei0CIlYFPQaElWmA+EAFu1RC2fZvQ/INQ3Y408GWa+T9Xnx1cJPVnxiK+LFMH37dGFLjd25UqFVWdJBqL9Bplyewi5jgszeLRcF5Kuwx9Y6VrgdnxB8/0yzQj7zUr1+df7eo97s6UnpcVocOraG/HfXplYbS6Atg6oP/PRjTre11qN992n+NFza7tK4bXiNBFmbET2OCLyAHg86Z4n0AHgRz49WfGR5PxgOWlwLBrWwb2X6YcMPlvUfz2CQKcvT1rFJWyfhy1Vylpgs4K+Xbm0voEl+IDFbVn7MnrVrltZ+Kp0kKlTcpEYTaXKbp9zLkqqqtjse9B6wu34oZFoavDaHji0mw93T745rfagOodLDEW7AfxThvhn3OaaNX/LbJZbnp3xzisW3VQe8gMzKAyuxMX+jZGsxRNZQ5/98viM68ffrvhe+fvaP+gPZlePFvcNXT7ha+xgqWtmIn/XEg/7a+Zf230sUdEEkAx+gOoWoHUKUiVYFlbwYW8+GPXFh2wux6Aq9RbMIbNK7oO0FBmXTDnw2//lTozRUv9ePjwZaFzkySyCKng174q5udxnPT2t2Gv51/L9s9+MXk1Q1nq9AAXqJMzpBZqdaM+MyKnRlqFI7ySgbl4LhYFx1nv7edhRNEe468S5LL2LrmlbGwm+b7T3Q+Ypx94bdteyn7MYrXttA9L3wAR5VQfZ7/fj1fKvonp26+VnNz4prGWHXLsMfO/5QHoOnqwPAZcdfZlvd4RPIdgmc//zxH9vKqyj5eqDc7PkUXe9Pz3naQvcUoW8zdXKssLIQQ3600qz5oJgPRESB/SsLraJntA+Xx9gNY/Htum/jXucX7Z8O+tTynC6gZdckH8w2z2pu9LwD8VVHXUeVazvKW+B05vP2ddqjT2PTyzwrOUuLHcMz8/ixg/+tdERn+Uo7AOwvlVu7AtHxcuJm9bgoY3Ux1E8zKc26jhF24oxpSZKA36cO2Og9LGN50JYawNqD/fqi1401Yue6nePGHgaaBPljxx8W3QXeKUgWEN7W9TbL/fTCfDETAJDPLXVS61iq4kN+HGJhQDm17QSAJplmojMSiVhYWXzihuK0pqcZj2krARBlxDK8O8DqDKPC+8veF15TdtaAFPQ7cOJowlP1iyqLkFeeZ2lzXHLFEu3jMfDr9gvbXijZ8siGG/AfZdBVZFWBX5DYYdSaUXGv8WIxKqzLW4eTvz457vUN+Rsc9fI/MfsJ7W0TgY71G6CmL+ssmhbuWSjtDaxOiGi8/wT+feK/45SgVYkqfiL68KwP4ff6keRNsoj9/LzxZ+kx+Kou7b3VSXzweOHUF9CpXrxwHoNs8qSTtojGR/uuZX7S/GehC9k2tdrgo7PiKyx26N7QrNbyInPDfxouvFZ4KuqNncXq1kC0/5KvlADAS/Nfsjzv36y/I8spIH4RevoxpyvtrmS/TdMaJkNE1P+uQ3m0awfiE5uiZAp/HfN9nPz5/7FdHawPaB7f7jC01VApBZSBKsaLHBBSfCl4tLe4j1wGkR4CTXLtKtkV14bFjw12KtuiCtwP63+wPBcp0dvZjIp6VVn7CQMfiPCLdB710+vHVXt/v+B3S3JpwuYJymOc2fzMuB51Ctk1+csm6+f5Zfgvlmodv59OZfOS4y5RKnHLfjv6eUWsIVmwSsHTxuN+Gy6JJ0ss0bGjT6M+ce/T5NLxtY+Pe7/HVz0sfdKi6ryth3x9M2GsqzbOj4PUGQMA0nyJVfgt20qSAyoVeqoe3zK7pTRYP7f1uZZg/ak5ZjuXrjtOsi8Z5x97vv2GkP8GPq8P0y+abnmN3is8PV8Hz8591tCOmbp9qlHQaV+nvZIxQhlRG/I3SNc4Tn7DSVsn4dOVn8a97iTg/3rN14YbjZOAn79GT/r6pDj9Dp3qPnNGkcGJkOCRBDfgP8og62/7u7Bk75IqH+OOKXdI3+M9rWXQoYJWFTq96PvL9ltsbHjIgjgKUQ8cD5Vyui7sPo9I5d3JpCDCmHOiWXteTO2FefJMPF1gAdaggXouq0B9YwHrZM+rE+t4sdtNsHxFgoEGACJFd+q7LftsfADEL2R5ASARe+KJWU9Ynl/Szsr04XttrxivFvC6tuO1uK3rbZbXeAV/vjoKWBOU7eu0x+unW0UT+c/21Oz4nn7+97JjBcgCOyqIJ6Ip0ySALJCzq/7wPd58EFUaKMVjsx4znp/c5GTbRMOqXHVbhWzxY7ewosGMTC2aT87wfcQ61bD/9PwPOtftbDznky2njT7N8vzebvcqj2f3N/91/L+EYo52ehc0EM1MysTiKxbb2p7aBcmv9X8t7vdpVMN6fdrR/0X983d3u9t4PHv3bLyzJF6Pgr/H+c9SP8NajdOZizvV66RMtsmYXENaxo8NFDIKNwWfoOB92vnPJwqkw5GwpfpOGQ8M1BpXJS4GRBNrvCc7EB9s8qyU0WtGK48rQo+GVutfPkkru9/tvlsq/Du8zXDhNnwiQLYes5s3nSZ7dc5FBr63XXUedL1F52VV4oZqIwDAqaOjGll3TbvLeI0yOUTg9TeYXShffLJbl/HuH6PXxl9fdnpMzK2C4d2l72LG9hkWFsVbZ7zF72aBaO7lE1M6GNhioLI1RGXrdyTDDfiPMuh6IwPxgkqJQBUI6PbgU8oqjxbZLbSO4dSfPhHoZDL7f9tfWeHXOcYJDey9V1V/A9BbaIvaKCj+Nc5KL29Tsw0WXbEoTsxJBdqzeVX7q6Re6atzV0srLq8vUivnU7y3NF7ZPr88HzdPvtnyGu155zPsOteS3QT73wXiDLRdgsJu4QsAX6+2Vhj4hSz/2/PPy4Pl+H692f4y+uzRcb3Vv1/4u4V+bSec2Cq7VdxC/+XTXrYVzqF98iJPdT6w/nbdt3F90XwQYbdolAVhNGAQVe4oaqXG619Uhipt1bl53Qye8TN1u1WAT4eqyfdF8uOuLAHCJ8F40O9VNt7w98Ha3LWW57o0cLro421QaYLru3O+E1p/0cDsp40/KbUlRArgQHz1if8eaXWtKFCktaisCFvvPf6Y1C6Rwq41r0VWC+MxvYcYru14LUb2HGk8f3tpvBibXSIpKzkLN3cxx83Ra0dj5X65CCxgbyMmS6baVbH5+4JHbnku7v/DmSgm/zcjkQh6j+ptuRbtxi9VcgMQj4tAfKDInwvVitEFv7bgtS5kvzffP03x9JynLUJ9N3QWs4L4Vh3ZfW83NtPkA72unVga2wkEMuRV6IsoM6FRvtVS5UZzb/d7bdfjfFKKR+d6nYVzAN+OYjcWdarXycKSqJsaTTJSNp+d/fSjvR+Naz+6fapVCV9ldQoAHet2jEvY6jhMiKC6lpI8VStMHa5wA/6jDI/MfETLiq6gogADvx8ofb86FOV1qWgqqPobKXTVUqsCVZ+5LnREyCi1WIaTvj5JmVDhnRKaZTbDPd3usbz2wfIPpMG06NgP9HgAACzBIqDu/6XBmV2C4dm5YmExvnJBwfeuvrkkXvhub5k1G778Kqu4EZ/p1xFzsptgB7ccLHzdTvxRpyWHrwDy4AWC+OCBCvQB1uCBITM5Ey2zzAWCndia6Puol14PD/V8SLC1CTpprziwIu79BhkN8Pngzy2v8WJjOowMit+3/h63z6b8TRYa7j3d7+F3sygTi5IG9824z1Il4RXKAYHtGnccu/5gEfiFfVwgI+nxlwmoMeh8r3wvMr2XIpFInL6LDDTpS8dZXuRUxlZ4rf9rFlXui3+V+0lf1f4q4eutsq3Cl/y92LVeV+kxZeArnXwgJEuA2vWg0vtNlsCyCyZ0KPo8a8fO+eGUxvHJh4EtzHXGB8s/iHMUikQicSwuHnZj8rNzn8XO4p3Gc7trG4j/bSpCFZaxsnej3rZCZnaJdZnoLR/w82sLHS0XHvz8KhRlFECVzKWV4I8HfixlNPDXGg1IaaJhT4k4wcVAdTbovCTSUpBB5r/OJw3aZKvbbSjYeoi2Wr7U9yXbeVGUGKbQcSDiNWhC4RD4IV2HeUmvd5YgpeO1nSNTqj9VaRNI9QZUuOx4saWtU6gcDIIR/TaDIwluwH8UYuSfI223UWV1AWDoD2IrHyfQDZBVtKadxTu1mAJ2Svw6dEQ7sUKngogiNKnRxPbzyKrDPHg1XAq+6vu/fv/DNR2vidvug+UfxL0GxAcNXw/92hBS4lWwb5tym1TMh4Kn+7IEAsNPG8XWcqre2m4Nutl6aNudG7+IufS3S+MWB/xzu6RMZpKcLqjCeW3OMx6LXBQKKgosXtYiRXI+880HbhO3WgWlZBVgeg3IqJwMsoWvnT6Czr3NCyDyixv+84kE5miw/tfOv/DITKvf8LCfhhmP7+12r1CMjroXLN23FJ+vtCYiqGhWm5pthD7RfLVv+E/Djd5OwL63VwSeysyPuzJ6LS+0RVFQUYDp26cbz2X9/vw4Q4PIXzf9is9Xmd/RN2eLPdhVoOJfgJyGm+JL0fael40nbWq1sQiKXfjLhZa2J6rZoaIDU/BzRlnA+pwKblLQ44us7GjAL0sS8p7r/L2WiNq4XcsgtVxkeP7U5y0MjPN+Ps/y/v1/3G9JDPGJFwAWEU5R0EnFQ1tktcDoofaUeL6yyCfOnjr5KWEi84OzzDlzV/Eu5RgmS7rw9zl/D9u1iohA1w0b8zdahIYpU4MHrzFAxyMKJwKqVO+Cfj9OHJNW7DcTwHXS4sd0GWRtRU/PsYrz8oG0CqLeeZ32A9F3RosBOsU5/lqpDFfGrc90evhpMvq9Ze/hyvFXWpJkOmOaKrFAhTYTPYYTyNhRgDOLwSMJh0TA/9Zbb6FFixZITU1Fr169MG+emsIxZswYtGvXDqmpqejUqRPGjbMKt0UiETz22GNo1KgR0tLSMGDAAKxfb1YSt2zZguuuuw4tW7ZEWloaWrdujccffxyVlc4nuEMZsolG5b3OMGun2hakKGDfr263WB/0/SCtIFnUT8nw9Zqv8d6yeJo2fx6/b/lduc1bS95Snm9ZsMxWrPCG32+I6/d2irk5c9Hv237KbXg68YQLJghpXSrvYj77KVtYysD/bnQyuKHTDXF9cjuK1P1fADBjxwzL8yvaX2HbHrDqwCrL7y+ydUnxqxciOnRA3hKPF6LkFypeb/zQSimI3677Fh8ssyZTIpGIZRFO+2xFx8iryEOnz6w930/NecpYmA5qMSguaQLET6h8ME57MgF5b+faPJOebZc0kVF57QJYndYTPkjmPx9P4RQtlr85+xtLxYgGCPy4IFNrv+vEuyzsCeoLzYPvd6TgE1RUBCoRKm9OSY7lM/DBg2x8VVVNz//pfOM6O7nJybi1661a50J/Tyq6BcRfdxQ0gSazbgLUi2xdRpmKacQzcyi9m+pJqPRPnjrZ/NxPzXnKQpXlx1XZ56HJZz5wX31gtUXnQEYrb1fLyh6glO9wJGyr/SAC3zfLJ9tE44Tf64+zcKTgnT7+1+9/cdvQtqu9pXuV832jjEbSQHvCBaYA4kcrPrJY2fGUeNlv07tRb7zeP8qM21K4BZ0/7yzcDgB+2yR2BOGTOPR7XLZvGb5YZYpK2lVeKdg98O+p/zZea57VPI6pQXFKk1Ms8znrNefhJOAvrCw0xiQajNI5xQ6MTbIhb4NFp8LO4YAXnS0JlKCgosAivHd719sdJVVEfeY6Ab/oOsxOduYPzwfzOSU5lkAdsG8tEYGfs1XuGgyqVlLdQD6RZJZTJPJ9HAk46J969OjRuOeee/D44//f3nmHR1VtbfydhPSQRjppQEhCCYEECEHpgQBKL6GIiICFckEUFaVdrwqiooAIlisgojQBGyC9KDFIIEAooVyaQECIJPRAsr8/8s3knH36TEggWb/nmSeZc/Y5s2dmzzl7rb3Wu6Zg7969iIuLQ0pKCi5fllc837VrF/r374+hQ4di37596N69O7p3746srBJv34wZMzB79mzMnz8f6enpcHNzQ0pKCu7cKb5oHj16FEVFRfjss89w6NAhfPTRR5g/fz7eeEM9vPRRQytEWg05FWoerZBOrXz06wXXNQ3xD/78ABvOaBvranx//HtddY0PXDmguE/vascTq41FPsiFOfEeaB6hOjZQHBXAC6CpnWf96fWY8ecM0TZzbdlNvTdJSoPJwU9MhTd7b2dv7OgnDuNX+myFr9UhXFonVnheuZVZYWhuu7B2mNhsoqSNUtikGS29A6C4JJ5wQr/zL3E5Qt4olgvlm9FyhsionL1PnC4x6fdJFjG/hIAEPF1XWgKypldNfNzmY9E2YVkk4eRYaQLG31D579KaG67WtUAphUFLnMqaa5gwEqSwqFAU0aRU8snD0UNUiUAIH2at9Ll6OXthekv58/PwYoNC4gPiRc+Fobd6V0neal4iDLru9DrM2jur5PmpdZb/I70iFdNPTCgZB3x/hWkw/aP76xZBEl5HjURECVefhE4DNacmj1YOqhl+siyEnygK+6L3/XSP7C4S2xq/vSS3nD+HnkkyHyXT9+e+oudKNd3544SOsU/2fSKpXKCHkKoljpmb926iyRJxupXS+9ErpDaj5QyRvooZJ3sn/Ni9ZJX15e0vKzrw1Qyx6u7VRQ71AWtLwov5tAK1+4reyi7B7sGy2+3t7EUVLoSl3wauHWjZHuQWhA9aKkf8fdNZXGf+nT/ekfRPa27jaO+IDb3Fc7C8u3mSz9eIoN66U+uw+PBiMMZE1xmtMp48V25fkUSEfNPpG4XWxfBzpVbLWiH/rvg+83zc84b6sffyXmw/J16w0OMA+e9BcRTmuevnsDTbWKQTPw6H/joUY7YqV8KwhqVPLtUVXXbk6hHFfaUhuFga7EhVr1pTkSl3g3/mzJkYPnw4hgwZgrp162L+/PlwdXXFV1/J5+TMmjULHTt2xPjx41GnTh385z//QXx8PD75pHgFjjGGjz/+GBMnTkS3bt3QoEEDfP3117hw4QLWrFkDAOjYsSMWLFiADh06oGbNmujatSteeeUVrFpl/Ab3MOPp5In9T0uV1PUgpz7LozXB0eOtXXRYPdxaa78e+NJeSqjd+EojXJ/nzcQ38Uk7aU65GtcLrmPXBWn0hauDq2SVX0nfYMIOcUpHx4iOlolsgFuAqrffDG8k8xdz/ibEr0IBxQauMOxK7nXPXC9ZOdcqYRXtEy3rueVvvPwq08lrJ6EHoSHMh2P/eKJksqn026nqWFV1ZVdoqI5sOFLRiBIqlgPKK5dqObpCh8Szvz4rytu3pqIFHyauJ4UDkJbG4nPr5MoDaSGM2Pgo4yNLWGSMT4xE1ViI0gTeiMq/lnPJjBGVYOH3q9fx2KN2D1GEiDm95/yN85bIA5cqLpaqGHIInQuFrBBLjiyRbWek5NOoLaNkDerkMGlpQCWEn0GUT5Tu45QiA/gIH70lvgDg+2MleiVG6m9fvFEi/Gk2JO/cv4NXd0gjcuQQXufUIhdmtJwhK9oHqKe+CFO5HOwcsK7nOuhB6OTnnTG9o3orfrZaUVhm1H5f/LmVxH75SDIe3uFm5sDfYqe1mgGj9psQ6vQI9Qt4+kb3FaVtrTst/Q4G1hkIL2cvxXPE+cWJrgNmfZ22oW0t2/QIBfMOjJPXTkqu8VoG7k/dxWUe39/zPhK/TRTNE5XGqtL+NsvbiJ4/VecpWdFOIXIRa58fVBdT1QMvUKfHwOWvGZ1XaYvy8vAOer2ViYwQVlWaiiNHryjliEy998bSQum3paWbUJEpV4O/oKAAGRkZSE4uudnb2dkhOTkZaWnSskcAkJaWJmoPACkpKZb2p06dQk5OjqiNp6cnEhMTFc8JAHl5efDxUQ4Funv3LvLz80WPRwE5A0ir1Aegb2KpNsE5f+M8+v8irS/LwytqPwjkVnDlbk5qIf1yhsfSJ4znnAoxT3yH1JPmzisZXc2/ay4RqjLDG5pKAoB8zeIZLcWr/XpCX3kjiF+h4W+qfJnAe4X3sObEGsvzecnzZFdubhaUhBULS9LJoXRD0SoNplcTQTgxEopp7f97v8UxFewWjHntpCWuzOgNe1Rb2eMnx0oTNjWje1XXVaKIibYrSiaAapEuQoTRGVrK/0rCirxTQs3Z8H5LfY67Bn4lDpElR0uMVK1VRKX8UbVoFh7+/SiVx9x5fqfsdjmEuf9GBAh5ZwogDgWv6lBV1fHQJLAJpiZNtTyfvnu67PvRMvjTB6SLcianp0ujINT0AnjWn15v+a6M1HiWE/QrLCpE4rfikGi1utc85rG2+vhq0fWM15XgkYs4W3p0qcj4kYt4MrOhV8mK64G/D1gcD/y1Wy0PWSvSx0xqdKpo5V4N4e+evwdMSZqiGD2kd4XfiKNMOFajvaV6GYqvoVCGjp83qV2jJWXo/v972XV+lyhVRivtUTi+hZoZevpgRu6+KHQS6DEQ+XO4ObhJNA60DNwIzwiJEcaPObV0HUCq68Oj9/46rcU00XM1YWEl1ATqAH0GrlwUnxA1B7VehJEvaqj9BvWG4z9oo1543dPitSavPcCePJqUq8F/5coVFBYWIiBAHEIcEBCAnJwc2WNycnJU25v/GjnniRMnMGfOHDz/vHIYz7Rp0+Dp6Wl5hIaqexEfZrTqK98ruqeqcGlGzSkgzH0zI7dCq1aWRG4yp5WfpZefe/ws2aYmIsiLfKztsRb1fJVzTuXgRbzMSrXjGo+ThBrrCTMHlBWlAeXSNwPrlIQE+rv4SyZhWiWOAOmNWivci/9s+b4prd4LVZ950SQepQkHP0nkhXD0VnoQIjS8pqWXTB6cqzirhsTrXQ1V+zz5SY3wdyjMg869rZwa4urgiihv+dVRYX6oGsLQyFXHV4miBITVHSYnTVacMPCh4sLJsFBE6fWmr6NjDeW6ukKERo8wp1hrFVGpHBv/W1SbGPEOC2EJR2Eeup5KD2aEn52RVWS5ya/QAaxHh4U3fguKCiRGipax5urgKlp9TbtY7HiP9y9ZSeXrRvOs7SHW6Xly9ZNgjImEu7TgHWCFRYW4eV/8Pfza61er8jsn75ps+b9DeAdNoVA5Y17oaKtXrR4+bP2h4vEBbgH4vH3JquTUtKkA9GmlKKHkTMq5KT9vkkM4/o0485Veg//OjuQqhwzzCJ1qchFmSigpePPOFLXrvNw1+tqda3h+k3iO2SxYPYRd+BuV05rRs4os10aPSLEQ/r3eK7qHTzPFpRzlHIw8ws+FF1f87onvNFMhanjWkOjpCNEbNs5XV9BKo5Rjeovpqo49Pc5ItdVmH2cfTEmaYrhfQpLDknVHLD1VV7nyg16DX80hZ+TeJceY+DGaFYiE+Ln6YdmT2uKclYlyD+kvb86fP4+OHTuiT58+GD5cXmkYACZMmIC8vDzL49y5c2XYS9tY3GmxaBJz8eZFVTXd6enTse2vbaJtc9vNleR2q/2AzbnIQuRyCdUMeLnzD4gZgCWd5UNL9fLv5v9GoFsgMp4Sl0BTmyzxiujmsLGDgw9qKpQDxZ8HL+LVOqS15f+EgATRPj0RFj0ie2BswljF/ZvObJLdvuxoyUWQL0kHSMNr5b4HfvKhlfe95vga0XO9AkhGUBqPfO4/P6mQU33WQujAEOaZa93k9a7GqzkGeC+6cKwIjVOtUlZKryH8/nm9CCFvJr4pqjZgjhLIuZmDb46U5FGqrdoEuweLypm1XdHW8nkKSz4ZUWHef3m/5XMWrupq6ZII34vwWscbQmqpEvyKqtA4Fpa/UyslyWNe5dn/937M218SPbK171alQwDIf7/C/GQ9aUr8ey0oLJAYRHqcWC72JQ4s8+9UKPSppdMS6hEqiURac2KNKPJKq1QZX/P+n7v/IDtXnHZmVLxUzkncOrS1plNdWNHBjFB4TJjXrISe1W4/Fz/V/UIj7d30d2WjgoSl0OQQpgcd/eeoZWXdSGixUvg9fx/kRQHVEJXJVHB+yyH8DMyr+kWsSLNkqhDekVlQWCCpjf5T958kAnJqyNUw12OIyd0HrKn2IaT/L/0lJRj16BYIq2rwTj69q/NqcwWjJVhtwbmKs6rmgFKJQiFqlUOmJE3R/T0ptTPirBvRcAS61eomu0/remYmyjtKcRFPScdHjq9SpCndakKoSihF2FVWytXg9/X1hb29PS5dEpdPuHTpEgID5UP8AgMDVdub/+o554ULF9CmTRs0b94cn3+unsPj5OQEDw8P0eNRoaF/Q8nF9PMDyu93+bHlkm0tQ1pKyib1/LGn4o9Qrt65h6OHJLyoCMphx/zNfmz8WAyNHYoGfg3wabtPFY6SIlQAbuTfCD1r9wQgvXGohbKrTRiEE2clA0nucxJGCPA3Sz0TlISABNVJn1IN13/u/qN6Xl5wjhe0+TPnT4zYXKLKrccLza+k8Z+1UijYi3Evip6rOWWUcox5Z8SM3TMshtjft/4WGady1Q7kEE4szOMJ0DaylVSZ+RuT2qop/36Eq17C6IWDV6RRNkKETkCz02rt/9ZatAR8nH1EJaZ4vJy98FpTadjc3kvaApnCPnzdSRz5suWsNMJEa2I7MbFErHHd6XUYt20cALHBLRQ3lEOYUiJ0RBrR7+CNX+HvWJi7LmfwKWG+Dj61tsSgHR47XLHmvBm5ibHRUmv873JPzh7JOdQECNX6YnRyzo8B4ap6vWr1NMN9fZzEzuU2y9vgnzvia6ERPQIAoqgWI+cQapfICXxqRTMBUoOpoLBA8plq5asKVen3Xt5rSR8Rfu9KJRfNfNnhS8v/6RfTMX13cbRabS/tWvdmlAwN/j7o6WRMwRwoFiAUhmxrrXgK79VmjYivsr7CgkPqZXmFBLiJF0cKCgsk92qj70XOuaQnNYiPOurxQw9VYcoHiZpwpt60DjXHgFDgtCxQcz7wY0COaJ9ozEuWTwHUK/wIABt7b5S9R2rNR4Q42DnIOpWMYDKZ8G6LdyXbN/TaYOja2iSwiaQalTULMzHVYrQbVSLK1eB3dHREQkICNm/ebNlWVFSEzZs3IylJXo04KSlJ1B4ANm7caGlfo0YNBAYGitrk5+cjPT1ddM7z58+jdevWSEhIwIIFC2TLaFUk5DxdRr1fcl5E4SqckAExA0TPh9QbgpCqIZKbrXBVg4efWMb5xVlumvyFXW1lVeidVCoPBhRPDMxKuELy7uZJSqgJESqjK920+Enxhl4bRBN2PhxOjzdT7sbHv/7k3ydL2mjlnvFe67Yr2oo+32d/LSnP0jigMXpH9dbs69+3/hZ9n7zxpXQTH1xvsGii1GmV2EssnDQJhYh4hCG2ey/vtTgHhLnrY+LH6BKrBMSTL+GqoFaotpJoHz+ejdwclaIrtDzqm8+WXCPNda5f21liwD9Z80nNFSi5fv52/jfVY3j4/sutMmoZ/KkxqegX3c/y3Gy4GKk4IFydP37tuMWYs2ZlwYx5NbvbmhKDxt/V31ApraVHl+LCDfEKqJ7xIWfcq6UtycF/7h5OHhKj0lzhQw1hdENiUCKm7poqKjGoZ6KpNrk+dPWQ5ncd5B6EvlFiBXu+RK3RcP55++dh9fHVom16DJevD5c4uexMdihiRSLHoR54AbOb924aDpv1dvYWTazNSuNCY0NrdS+kaggSA0vGs1llXE+lHzO802Pz2c0oLCrEu+li40HvSiNQ4lTmy/ZqOTB+/l9Jup/ZWBZWuQCAWW3Ez3n4383czLkSJ46RMnYA8Gnmp+j4vTjCQaglowRfCYBfCLB1tR8A/tvhv9qNoL6QoTfKT63d6hOrFfc9CJTu98J0Gy2UvkMj34unk6dsREGQm/4QeEB8nS5NjGi0mOHTd7Qc3HLwv0OhJk1lpNyt3HHjxuGLL77AokWLcOTIEbz44ou4efMmhgwpFjJ7+umnMWFCiar4mDFjsH79enz44Yc4evQopk6dij179mDUqGKFTJPJhLFjx+Ltt9/Gjz/+iIMHD+Lpp59GcHAwunfvDqDE2A8LC8MHH3yAv//+Gzk5OYo5/hWB91q+J9mmFEbH80rjVwDIT2S+PfKtZBsg/YGPazxOtl3OzRxFo5+fsArz6Pn8wPYr2ysK4Oh1bNwpvCNaRTMzdddUnM4/rescey/vlc0H4wXB+Fwk3vsvzAtXQpgfbCZ9YDqG1h9qeS53A9S6sZpMJux9SrxKe/b6Wdm2apMWYfm4I7lHRKUA+VVcpUgFNwc3iTii8HsW3hTVcvHjA+JFE9v3/pT+HrQEZzrXKFHQXZC1wJIaYSRXNdyzZAybJ/qANPzViHff/Ds59s8x0XYtx44QufBbPRNSuWuC3tJxSvA1qAF9oaty/TUi6iZMsblfdB9tV7RFxqUMjN4y2rJ9Y29lB6UcqT+n4vyN8yKhTT0pScLfQ0FRgUS9Wc93wxt/n2Z+qlsbxAxvYO29tBetl7c23Bdhner0i+kWtXAz7zwmXzpOiNp1XE+UAQBMSpokem5ES8EMP2kURhoA+pwxwgiSc9fP4YWNL4icvnrKUfLX8Uu3Lkn6ogehQ2vbuW3Izs0WOSCPXtU23PlIPcaYbuV9oNhp9PZjJZodY7eOxaazmxQjovQg99t/OeFldKmlrBsEALW9SyIT0nPSJfnubUPbom2YsnMZkDoaV59YjRm7xSkpRg1+QFoyUk8ZO16zhsdIqLUcwW7BaBqkP2JJCaPRNXIoRYo8KBYdktfqMHIPVBoHeiMezMhFbcil1qqhJFxrK9aU+hWWMAb0RT3J8UbiG+hcozPSB6SrVhGoDJS7wZ+amooPPvgAkydPRsOGDZGZmYn169dbRPfOnj2LixdLDJvmzZvj22+/xeeff464uDisXLkSa9asQf369S1tXn31VYwePRrPPfccmjRpghs3bmD9+vVwdi7+AW3cuBEnTpzA5s2bERISgqCgIMujopIcniwJV9ZSiAWKjajB9YqF4ezt7NGrtvgHo5SnZ2SlwRx+K6SIFWFOplhnQDiB6FxTPAG+cvuKrPDTnH1zROru/EVUOMkHgJN50hJtfA4jb0j9q9G/RM9bLWslOYcez7NQVX/v5b2SHHx+wisXCmpnstMUExROhJTCCvncXeHES2hkqxli7cLaifJqhdEgfFk7IwJI5hzigsICUUgtL6zII5zEymlHaDlCpiRNEYWVvZ1ePEH99qi800sO4U2siBUh7us4MMZw7c41UTu9IjkAMGXXFKw/tR69fiz5bSYGJqJ9eHur+mVGz4qL3KTe2huzGbkVdTknAA/fX8aYKF1Di9ahrTE2fqxo2zPrn7H8nxSUpGulgtf0eH3H66LnevLEv+8qNoj5z1TPZJA3guftnycR2jIKn6r1RuIbuo6TKyVq5utOX6uWFjMjV8XDDJ/6oxelCDU1ekX1kq2sYkbPdyN0hgLFQobCsaon5Jq/RszaO0vTuJNDeF2M849D75/EEVt67uXP1HtG9PyzA5+JKkLogb+vCiPnAKB/TH9DOe+vbH9FIj4sNOaV+LqjOMVobuZc0XO9K9GTk8TOF14M10i0gi2oOTga+DXQrWbeJrSN7HYjcz1hBRUevZ+rWoqVljNHD3PbzdVu9P8YEYNUQtHgLwUHiNESfXJiou8+Lg3RLwv4yNFY31irztM/pj/ea/meoUWUikq5G/wAMGrUKJw5cwZ3795Feno6EhNLwsO2bduGhQsXitr36dMH2dnZuHv3LrKystC5s9j4M5lMeOutt5CTk4M7d+5g06ZNiIoqUaR+5plnwBiTfVRk+BVQPfmcvJjc1OZTRc+VQobUbgJ8SRQ5Np3ZhHWnxHVnhRfGGJ8YSWienLgQr1XQLVLsAZ7Tbo7q5I2nbWhbzGw9U7TtmfrPSBwhPHqMr9/6/SbK7Z30u3g1SqJs7y2vbK9mLM7ZN0cUUTHtce3vAhALmglDSbU8yEo3cSPpJPwN8V7hPTDGkPBNgsUQeq3Ja4qfhxlhRIScwJfWhMPVwVU2fcHIJDTQLRCftReHmO48v1Ok3qxUsUAIX2Vi/I7xoucvN35ZMzxZONZO558WhfgD+oTD+FDzgsIC3L1vmxqvsJSeGT03a371+p108arxhKYToIbJZFKNEtEbYvmfx/4j+g55cSs9zpyanjVV+6tHsE3L8ad3VVyN/jHapVe10LuSpfb5qwkpPgjUJuN6VufrVqtrswI3//0ZTaUxI7zuHb56WLJfSxsBkKak8UayHtwdxU49Ps1Jj3OJj0wbtmGY6Lme3567oztWdlmpuF9v2kefqD6qoqd6ULsGONs7K1ZaEaKW+9yrdi/dhtCHrT6UNbqM5Im/0OAFxX16rwNCTSYhKREphrRR5Hgx7kVDeewvxCm/H70Yce4bxej44+8rER4RVjlRrNHa4OlVuxd6R/XGJ20/wfbU7Zp6JIQ2D4XBT5QN/Coqr1osh5xBL1TVlvOY37p3S1Z4y8yTNZ/U9Cr/dUMszta1VleJ4fevePHKupYicZxfHMbEj5Fs93DSb7BVc6kmueE72DlgRMMRom28F1rPqmcVuyqilUxe1Zd30CjVLFebkAgdIP9u/m+0CFFWiRUS5hFm+V/oMJCLiBCi5L0WTuaU6h6b4Q3xu4V3JaFnRlazAfnPyJqw8d/P/y6a4At/G0rwTrSRm0da/vdy8sLyJ6WimTzhHuGqoZh6wmn53M6xW8eKnquJWJrhyxLl3snVVFzXonONzvhkn3glWY/zgRdtFK7etg9vr8s4VXP6GFH6VnMe613ZU+uL2oq5mZqeNVVzSXf11z5HacHnmwvRu5Kl9vs0GrpqK2rh2LzhqoTaaidfWUQOtaio5sHNcXCwuminGeG9io+SW9RxkaYjFQBcHNSdYau7Gs+tVhN4U8LB3gFJQcrh1HpXo9VKzK09tVZxH8+x3GPajVToH9NfojthZke/HbrL8v0x4A/ZfUaMTQd7B1EUojU8Xv1xvJTwkuw+vWHfSu1eb/q6odBxodiktehJqdBCqc9GowdqedaSbFMT3ZUjpGoIUqNTLc/1prLyLOm8xJICKRc1oAd3R3dMSZqCVqGtSq0cd2WHDP5KjJ4V/szLmZJtQgNHTihk3LZxigrxZviQbh7haoWHo4dsST8eXnCEX0Ue32S8qBSUGS2DU3jzN4ubSc7BeUZ5NXm96thKOaV3C+/i8aUlk2Zne2dEeEbItuVzuZUwlCduwNgRIizfZ/b6rjmxRpRruq7XOslxQvjJ9Z37dyRGk9HwN7OwlBA9IlP86t0Lm8QefjmtDB61SVagW6Du1Uo11Xk9+aHjEsap3kjNwndqhFQNET1vv7I9dufs1jxOjVl7Z0mEtpTGuhC1yIhetXvpmgyqfTdyiuxKlIb4kVoUjN4cUaXVsNebvq77918aE+OP23ysGE6tN3JCzZG58pjyiqxehKKPWqhdbxr4KhvyQtQcar/2/lVxnx7khC+VUAuR1nKimxGWXeR5tv6zupwGpYWaI0Xv52JEf0ANvoSlUUwmk2KkjhFRNyVD3Wg5XFsF/kwmk6xgqd7qOGbW9pA6XYxqIiQGJeL1puJ0K6OindVcqhnWdZEjxF18Hx3VcJThvrz9+Nui5z90/8FQ9KGZic0majfSINwjHO+1fA8Hnj6AD1t/aPP5iNKBDP5KjJK3W7iaJjcpEQpQyZVW+v2C2Cj+qftPkjZanmWhd19PiCQgrQ3Pl59TCmHlowl4hKvbSkKH/Ln5Gylf/kkJoXK1ME1g13nxatzOfjsVb3B6xdq0ROqEHPy7ZLVIWKddC+FKvtlAFaYqtA5prZkXzX+WO8/vlKygGp245NzMkYwXPU4ZuVx3MxMTJ0pWzeVQu5EbyX/na4gL0TP58Xb2xuy2sxX36xE003KW6a16oEaniE66Jj9qRrDelSw1p4CR1a3SMPj/uCi/KgcUC2XpQSn038jEPTEoUSRYaUaY5qOFk72TYmi43om6Wpho69DWuvuixJvN3tTdVunzW99rve5VRqWydVOTpur+TBZ2XCi7vbTSE/U6H9UcIKWROmIEtXuBXnE5awT1jGBkxfJB9sWI4CwAWUFio/Ch+872zobvE6Ee0tVvoyJ3gDQlzUhlCTPWqMfz8Jotz8c9r9BSmfq+9UVaJlr3ZjXMKY96BGbVsEasj3hwkMFfiRm+YbjEEH11x6uiyapW/o5WiNzIhiNlV+e0LgRKK1Nq8M4JfoVMybsvDP2VC+UTOkD8XaQRDYDUoBCG2684tkK0Ysl7lZUQ3uj5z0ttgsVPJuTEDAFjRrKwjJRwtb9eNfU8YXNNdyX0TCj5z/Zo7lGJArM1k6LEb8UrDXoUXNWMMKNOBzku3byk3ej/UTNA9X4eaobfcw2e0zxeLTzdx9kHM1rOUNwvxNtJOT9vRit955CL3jGj97tRcz6pRVTwnM47rbutEmrjUe8Kv9J11uhKnZy6//V7xsoV2ilMN4xE5yiFqb/f8n1DfbEVpWgPOSFVJZTG5MEr+kLxgeL0ILmyXrxqvmo/VBy/elcI1RxqfKpNeaLX8af2+7A1T9yliovEwFPDGkNWL2rREHLs/3u/ZNsTNZ8wdA7eCWm0VKje8+ph8eHFoud6F2aE8A6ttT31p3yYKS1Bub7RJekftuS8v9b0NWQOyjQ8PoiHGzL4KxmdIsR5v0LVZsaYSCjvreZvoUlgE9XzbTyzUbL6LERJBflsvrjMG2+MN/RvqPq6cvAGv0TkTiHkV3gDl5vYCifNSit3/ORN2Je30t6y/J8anYqBdQbKnoPn5LWS/Hg9OcxmeMMn/25xhAS/6qPkCJDDx9kHd+7fwbT0adjx1w7L9iH11QUP+Xz1m/duiibFegxT3mhZcWwFJvwmFjPSswKsJWCjlrdpRs0gLA3hML3RLIA0gkWIboNfJRRXry7CjtQdstv7RPXRbTDYupIAqOsn6DVw1QwCLb0KIaWxwq+k5r974G6bV06MGvzbzm2z6fUA5Ym9rSuYG3tvtFnRWqs2Ow8vcFmaWJvzKsSIc0otpUqvIaK2Yt2zdk/dfSkN1O6Veo1CtetAfd/6ivv00KJ6C0Orwg+qNjpghagbt2rcwLeB7kodZmzVAVDCmmvi6EajRc95UWqjrzslaYrVyv1vNS+eJ8oJA+vF18UXs9rMwsetP1Z1gOuhrKpIEGUHGfyVDH61TJjLzAuhKZVh2Z66XfRcqDDOI6wJL0RYEx2QhlMbKfVihg/R5kXtlFZU+kT3ET3nIwOExrtS6Td+IqHUfyMiOcLwfr15+UCx8Su8qfb4sQfu3L8jySfUCisU3nhy7+RizNYxohJ04xLGISUiRfUcfChws2+bIaxqSYqEWv6oEF64SE5NWgu1igTJYcmi1A0l1CbjRlIkSgNeME+I7pUsBbGtH7r9oHvCoLSSYMQIC/UItbq0mpmk4CS80vgVm/uiRGmEbhoJPVeKSCqNEF+jk261VBa9NPJvJLvdaK4qj1HnhZyDqpqLtkiekK61uhpqbwQ/V31582oYuV/4u/rjo9Yf2fR69nb22Dtor+w+I1EPpYHwvimkY0RH3edQMh7r+NTB8w2Mh1sLybiUYai9Ece8EWJ9Yw2Loc1qO0v0vEutLobzxEvjOsrDl1PVy+B6gxHhEYHHgh/Dyi4rUcOzhlXnWdNtDSYnTbbJudWjdg+kD0i3uXpH27C2aBeuL62TqFyQwU9Y4EMJlSaFPs4++KTtJ7L7eJTEtmp5iRVF+bA/vaW9hBOv2ftmI+dmjuU5v8Kv5N1PCU8RrWY2XNzQ8v9HGR+J8tyGxYrL/Cix7/I+2e1aq8C8eIt5pWbbX9t0va6ZLX3EVRK2ntsqcYDEB8SrnuPNxDdF6tq8MrgeI0DOIZB2Mc3yv96VsklJkxQNBr3U9KqpWFNWT6lIQN24sCak0BbUJlp6VzuUwkVtXR0AjJcbKg1DVkm/ojTCYo0ojctNauP94zGn7Rzd51DSg7DVQLYGObXmiYnGxJ3kvoM9T+2xtksW9ETmCPF29pY4sz/b/5lCa3kG1hmoWnnAFoymBuXeLoW86lJwiCn93s9ePyu7XQ6lCiUDYgboPoc5oo3n/Va2p328kfiGofBrudVvI2XsAKBDhNTJXBr135d0XmL4WtKiegtMTioR3OVLJ+rlh24/WBzWX6V8ZdU5tvTZghENR2BT700YGiu/sKSFo70jfurxE+a3n68pJK1GLa9a6BPVx+ZrM9WKJx4kZPBXQoRlN4QEuAaInqsZp3onCErCXyaTCZ+2K0kn+Hjvx6L8Zb15XeYwKDPtV5YY7qfyTuk6h8lkwtuPiRVOzav8X2WV3Iymt5iuKi7zXosShfaZGTNlRdV+PvmzZJsQXoTp2V+fBQA8UcNYnpyrg6toArb6+GpJuoKWqEsVuyqqYdJ6JqaeTp74sfuPmu30UBriT0p91jvJ9nP1k5RgNGMk97Y0UNJPGFJPPc1CiNLvuDRUqo1+X3pEArVQ+h71lkoD5A37xZ0Ww8vZS/c5vmgvLYdkNKfS18UXizst1m5oBXLlVtXgnVkftPoAqTHy9xG95wBKx8ljTSoN/9sxeg6TyaRbn0IN/r4DGP/dXL4tXQE2qnr+IIXh1CKReOpUqyNxqveI7IHXmqqX8RVSWqrgwvmJGaNO3X7R/TAuYZxN/fB18ZWkYlpzXdjaV1x1xZoQeJPJJIraM1LZQkhNr5r4pvM3yHgqQzNtVAk/Vz+8GPciAtwCtBsTBEEGf2VHuBJlJIxer8F/9bayN5uvAT97X7Fi+IpjK/DjyRIjUWlVFigOJZQTwcu8nIlXd5SoQmsZQfyERy4/Oso7SvUcnWt2RtvQtpbnvX+S5mL9fVu9tFeAW4BoomEOzTSi3m5GmIoQ5R2FNsvFq1p6crTUJoJ6jWS1FTgjocJKoY1K5b7kUHo/RjzzSqHnWukNQpRWi42Ei/av0x8tqreQbB/XWP8EU2kCWxor4kbCigHgi4PGagbLoZRWYSSEPdI7UjIejIaNR3pHYnqL6aJt1hhV1miZ8PzaS1zibVDdQZJyilrMbDVT9Nyack8mk0lT5FMPRqoDKMFf+1Z2MV7WrzSiYLpFdpNsszUEvo5PHcOq53K/dz51zxrahrY1FEoPSB0eN+7dMHR9Dq0aih+6q4vF6qFFSAtJ1ILRVEOTySQRVewe2d1wX/hUTKMpKEDxXE8pJdEIbg5uWNhxoWEnqBylIXRLEIQ+yOCvhAjF24Rh0oYMfm6CIFeeD9Be1RJOxM353EKRu0nNJmlWCpCbjP90sqQUYJR3lKYRxE8A91zaI8nl13NzkjOghHlynWp0kuzn4V+HMYaLNy9qHqfGrovicPyJiRN1GSBqK196Q7bVnENqtdN55EJD/V388XXHr2Vay/MgV7L4dAw1Ir0jRc4hAHgs+DFdyvhmHOwcFKMNjCDnkDEaji/HldtXDLXXEoDUg9xK/qquqwyfh8+ftybUkhdgLOuUDzN8aoBSeTw12oS1ESnhW/tevnviO8v/apUZ1FjVbRWea/AcnO2dFTVitKjlWZJSduDpAzYpWptRymHXwt+1pPLLwcEHDa+88g5xvWKbQuTuL0bzu+WY2nyqYfEv3il+6Zb+yiVmAl3VS73qhRcCNhKtYCavQCygOLLhSJv6xOsfGeHLDl8i3j8en7f/3KY+JAQklIozkiCIsoMM/kqIcLVYaKgbKY/CG3G3798GYwxjtowRbdda9RSG8cpFA+gJb5Qz4vZeLpl88TdtPQS7BeP4NXGNWj1K+XKKukYnx7zB//6e9yXlY4zC19vVG46r9p71TsTUHCWtQlvpOocSTYOaGgrXPnf9nE2vp0TP2j0N9QOQGpV9ovsYXvHgDXMj1RzM8KGeQOnUzzVqwNfwkAomGS0LJPdbMxIBooQ1ytK8EOn6U+tt7odalQg1jK74yiHMJebTv/RiMpkwu81sRHpFYn57Y2HnZgLdAjG60Wj8+dSfGJsw1qpztA5tjTcT38TXnb4ulbG+/MnlVjvJzCu+cuX19NClVhes6LLC8twao7RxoPEyuHqw5nez6rjYQdetljQKQovS0CSQwxpHVzXnktX4bX23Wf0b/qDVB2gd0hpfd9Lv4OYJdAvEok6LdJf1JAii4lA+Sw5EuSI0SoX1zPUK5QHSaIC7hXdx5fYVbDlXIha3q/8uQ6F4Nb1qSrZtOrtJsz66XDjiiWsnLP/rzeUXUlBYAHcHsQGnZ8VDWEov3j8eC7IWiELR9QhM8eJ6vLH/bedvUVbsuaQsqqV30qC0qv5UnadsVrvmjSotYn1jbXo9Jf7d/N+Gj+GFGNVK5CnBO5isKeFUGkJBc9vNxcjNJStXbULbSEoyasE7f6K9ozEveZ7hvlSxqyK6rpUGRkP6Aenvo3pV60K1ne2dcafwDkY0HIEXGrxg1TkmJk7E6C2jMajuIKuOB4rTXj5q/RFu3b+lq6KFEm3C2qBNmHwFmLLCZDKhX4x1+cdCMgdl4ub9m1alOJgZWn8oQtxD0DKkpdXnqOlZcu+0xnj3cfbBmPgxmLV3lnZjFfhzWBOyPbjuYCw6vMjy3BrldH7eIZePbxRrNRsaBzRGn6g+CHANsCoU30xKRIqhtDGCIAghZPBXQoQraWkX07D48GK0CW2DqWlTLduFEwjZc3A34buFdyVh/UbDp8OrSvPLlEoDil6nFATGeAqKCiQq/0ZXcN0d3TEzQ5z7qscIUssNHVJvCGL9HozRKoew6gGP3lxaJadPu7B2Nqva5t4xplBdGurGD4rcu8bVtq0Ni1ZjatJUw8e0DGkJfxd/i4DY7LazDZ/Dx9kHW/tutWhNRPtEW2VIbei1AW1XtNVuqMJTdZ7CN0e+sTy3JhVEqI/i4eiBJZ2XqLRWZlXXVUjPSUf3yO5Wr0aHVA3B6m76qwwokRyebPM5KhL2dvY2GftAscOtR+0eNp3D0d4R6QPSYWeys/qaOix2GP7M+RO7LuzCB60+sPoc+QX5WJC1wKrjAWBEwxE4cOUACgoL0Dy4ORoH2BZ9sKTzEsORQmZ+6P4Dhv06DB+2/tDqKjEmk0mkbE8QBFEekMFfCRlQZwC+P/69pdTSjD9niHLeQ6uGYtmTy1TPwYcvPrn6SUkIr9EQR97ABoC61epqHid0NJhD7gbVHWRZGa9frb6hfgDFZZqsyVEzl9EDgB1/ies994jsgSdqaqvtq+WTlnUe8KC6g0Tih0JsDYU1uvozouEIfJopXqlRi0CQw93RHb1q98L3x7+3bHshzrpVU1t5LPgx/H7hd5vOwSsUNw9ubtP5AGhG1CghpxZuFC8nL8v/f13/y6pz+Ln6Ico7Csf+OQZ/F3/tA2QYEz8G8QHxiPKOgr+rv1VGlI+zD7574ju4ObhZXd8ZAEI9QhHq8fA6qoiHg9KI1Pms/We4V3jPqsoHZl6KfwmBroGygqJ6cHVwtSls3czG3htx9c5Vm4Qia3rWxJa+W7QbEgRBPORQDn8lxNHeUSLscyT3iOX/pKAkXTlwH7YSl785ly/OjzZqEO6+uFuSb69noi1c5b1fdB/pF9Nxo+CGZVvW1SxD/QCKNQCEJfn0olZjd2jsUJtXtI0YyXx5I2tQMiBtCQ02Y3TVdFj9YZJ8Tmty1qc2nyp6bo2IktGyV3Lwqz7Whmu+8/g7aBvaFuMSxmFWG+tCchd2XIgo7yibysDZKgQFiB1aY+LHqLRUZ0WXFVjcaTHW9lpr1fHOVZzRPrw9wj3CrQrnN1Pft75Nxj5BlDW2GPtA8X1/QJ0B5e6kCnQLLJWqEARBEBUBMvgrKe3C2ynu0yt40yGig6iE0Kazm2zqU3pOOuIXx4u2mZX71WgXJn4vwzYMw+oTxsNX32r+lnYjDYQCPTx6DVw1Qayd53fq7suohqOQHGZbCK6nk6ekrBdgXOlbzpC8z4zlWTvYO0jKWJVGHq41PFb9MXzU+iMAQGJgolXnCHYPxt5BezG33Vx80eELq0W/utbqilltZ2FI/SFWi1UlBCTg+67f26S8nBSchCWdl8iOFyP8MeAPrO66GvEB8dqNFbAz2aGhf8MHWpWBIAiCIAjiUYAM/kqKmlFpZJJ8/sZ5m/qxI3WHdiMNqrlUw/Inl9t8nh61e6Bn7Z6y+2a30ZeTvKjTIsV9eg06k8mkGA6Ze1t/nre9nX2pqC/bIjRkpqF/Q0mua5R3lOHzCMO8Xaq4GCpjJ0eXmuolH9VIDk/Gb/1+w5cpX1p9Dgc7B7QMaYlmQc2sPsfDRAO/BpIycEZxc3BDpLf+co0EQRAEQRCEMmTwV1LUwlTLclXM29kbA2IGKO5v6NdQ13nqVFOuTTuz9UzFfTxyqu91fOroVpUO9wjHnLZzZPcZCZWc226u7HY9GgBC5CoYGMXRzrjSshx8XXJrVrSFzoclnZeIhNGMsHvgbsxPno93Hn/HquPNeDp52nQ8QRAEQRAEQTxISLSvkqJmCN68f7MMe6Jcf3hDrw2wt7O36dxTkqZI9ArU4DUElLapoVS+T6+qPaCsf2B0tV1O5O+bzt/ItDTeF1uwpowdAFHkg1YlCTVcqriUSm1ygiAIgiAIgniYoRX+SoqaIb3ksHXlo4QYEbpSUp4Pcg+yuR9GleDlROBOXDth6BxKERKlYTj7ufgZap92MU30/Om6TyPOL87mfliDUO9BKXVCC5PJhIODD+Lg4IM2O4MIgiAIgiAIoqJDK/yEBFuEu4DiEPDNfTbrbm+t0JgeTuedNtTeVk0C4MG9n04RndA2zFh9cd75kJ2bbXM/1FIw1Pipx0/49si36BDeweY+EARBEARBEAShDRn8hIShsUNtOr5rZFdUddQfvu5axfb6wUqEeYQZan/wykGbX1NuhV9NvV8vbzZ703BZv2frP4tVx1dZnqfnpFv12ttTtyPrShaquVRDtHe0VedwsHPA4HqDrTqWIAiCIAiCIAjjUEh/JebLDlJ18RENRyjWXpcj3l9aOsto3WpraqnrpYFfgwd2biXk0gh+6vGTzedVSn1QI9wjHG8/9rbl+ehGo616bR9nH7QMaYl61epZ1Q+CIAiCIAiCIMoeMvgrMYlB0vrhPSON5VZ/0eELdKrRSbTNqEGYfy9fu5GV2Bkc4nKCdiHuIYbO4eXkJdlmJOLBTKcI8edqreJ+t8huaBbUDFVMVdAnqo9V5yAIgiAIgiAI4tGDDP5KThWT2Dh3cTC2Ou9o74iutbqKthUVFRk6R3JYsqH2SsiVWDMaAh/nF4cvOnwh2ja//XxD57Az2eHNxDcNHSPHuy3eFUVQ2CJS91n7z5A2IA3ezt4294sgCIIgCIIgiEcDMvgrOffZfdFzo+H4gDQH/6f/GQtfr2JXBQcH254737VWV0mKQZCbcaV/YY5644DGCPcIN3yOfjH9DB/DU8WuCma1mYWwqmEYHjvcpnPZmeweqDgiQRAEQRAEQRAPH5SMS4hwsHMwfAy/8twqpJXN/fhjwB9WHbf38l7L/+kD0uFgb/z9uDqUODDGxI+xqh8AkBqdimXZyzCn7Ryrz+Hl7IVfev5i9fEEQRAEQRAEQVReaIWfsJkiVhLC39CvISYlTbLpfM2CmsHNwc2qYxv5N7L8LzTcjeBoVyK6F+1jnSI9AExsNhHpA9LROrS11ecgCIIgCIIgCIKwFjL4Kzmft//c8n8DX+sU7etXq4+anjXRMqQlFndebFWUAFCiqD+k/hCrjgeKqwwAQK/avaw+h8lkwu/9f8f21O1WpTgIsdbpQBAEQRAEQRAEYSsmxhgr7048iuTn58PT0xN5eXnw8PAo7+6UO0WsCCaYYDJZX2KvoLAAF25cQIRnhE19+efOP/By8rKpLwRBEARBEARBEA8bRu1QyuEnSgWjavhyONo72mzsAyAleoIgCIIgCIIgCFBIP0EQBEEQBEEQBEFUSMjgJwiCIAiCIAiCIIgKCBn8BEEQBEEQBEEQBFEBIYOfIAiCIAiCIAiCICogZPATBEEQBEEQBEEQRAWEDH6CIAiCIAiCIAiCqIA8FAb/3LlzERERAWdnZyQmJmL37t2q7VesWIGYmBg4OzsjNjYWa9euFe1njGHy5MkICgqCi4sLkpOTcfz4cVGb3NxcDBw4EB4eHvDy8sLQoUNx48aNUn9vBEEQBEEQBEEQBFEelLvBv2zZMowbNw5TpkzB3r17ERcXh5SUFFy+fFm2/a5du9C/f38MHToU+/btQ/fu3dG9e3dkZWVZ2syYMQOzZ8/G/PnzkZ6eDjc3N6SkpODOnTuWNgMHDsShQ4ewceNG/Pzzz9ixYweee+65B/5+CYIgCIIgCIIgCKIsMDHGWHl2IDExEU2aNMEnn3wCACgqKkJoaChGjx6N119/XdI+NTUVN2/exM8//2zZ1qxZMzRs2BDz588HYwzBwcF4+eWX8corrwAA8vLyEBAQgIULF6Jfv344cuQI6tatiz///BONGzcGAKxfvx6dO3fGX3/9heDgYM1+5+fnw9PTE3l5efDw8CiNj4IgCIIgCIIgCIIgFDFqh5brCn9BQQEyMjKQnJxs2WZnZ4fk5GSkpaXJHpOWliZqDwApKSmW9qdOnUJOTo6ojaenJxITEy1t0tLS4OXlZTH2ASA5ORl2dnZIT0+Xfd27d+8iPz9f9CAIgiAIgiAIgiCIh5VyNfivXLmCwsJCBAQEiLYHBAQgJydH9picnBzV9ua/Wm38/f1F+6tUqQIfHx/F1502bRo8PT0tj9DQUJ3vkiAIgiAIgiAIgiDKnnLP4X9UmDBhAvLy8iyPc+fOlXeXCIIgCIIgCIIgCEKRcjX4fX19YW9vj0uXLom2X7p0CYGBgbLHBAYGqrY3/9Vqw4sC3r9/H7m5uYqv6+TkBA8PD9GDIAiCIAiCIAiCIB5WytXgd3R0REJCAjZv3mzZVlRUhM2bNyMpKUn2mKSkJFF7ANi4caOlfY0aNRAYGChqk5+fj/T0dEubpKQkXLt2DRkZGZY2W7ZsQVFRERITE0vt/REEQRAEQRAEQRBEeVGlvDswbtw4DB48GI0bN0bTpk3x8ccf4+bNmxgyZAgA4Omnn0b16tUxbdo0AMCYMWPQqlUrfPjhh3jiiSewdOlS7NmzB59//jkAwGQyYezYsXj77bdRu3Zt1KhRA5MmTUJwcDC6d+8OAKhTpw46duyI4cOHY/78+bh37x5GjRqFfv366VLoBwBzcQMS7yMIgiAIgiAIgiDKArP9qbvYHnsImDNnDgsLC2OOjo6sadOm7I8//rDsa9WqFRs8eLCo/fLly1lUVBRzdHRk9erVY7/88otof1FREZs0aRILCAhgTk5OrF27diw7O1vU5urVq6x///7M3d2deXh4sCFDhrDr16/r7vO5c+cYAHrQgx70oAc96EEPetCDHvSgBz3K9HHu3DlddquJMb2uAUJIUVERLly4gKpVq8JkMpV3dxTJz89HaGgozp07R7oDhFXQGCJsgcYPYSs0hghboTFE2AKNH8JWSnsMMcZw/fp1BAcHw85OO0O/3EP6H1Xs7OwQEhJS3t3QDQkNErZCY4iwBRo/hK3QGCJshcYQYQs0fghbKc0x5OnpqbstleUjCIIgCIIgCIIgiAoIGfwEQRAEQRAEQRAEUQEhg7+C4+TkhClTpsDJyam8u0I8otAYImyBxg9hKzSGCFuhMUTYAo0fwlbKewyRaB9BEARBEARBEARBVEBohZ8gCIIgCIIgCIIgKiBk8BMEQRAEQRAEQRBEBYQMfoIgCIIgCIIgCIKogJDBTxAEQRAEQRAEQRAVEDL4Kzhz585FREQEnJ2dkZiYiN27d5d3l4gyZurUqTCZTKJHTEyMZf+dO3cwcuRIVKtWDe7u7ujVqxcuXbokOsfZs2fxxBNPwNXVFf7+/hg/fjzu378varNt2zbEx8fDyckJkZGRWLhwYVm8PeIBsGPHDnTp0gXBwcEwmUxYs2aNaD9jDJMnT0ZQUBBcXFyQnJyM48ePi9rk5uZi4MCB8PDwgJeXF4YOHYobN26I2hw4cAAtWrSAs7MzQkNDMWPGDElfVqxYgZiYGDg7OyM2NhZr164t9fdLlD5aY+iZZ56RXJc6duwoakNjqPIybdo0NGnSBFWrVoW/vz+6d++O7OxsUZuyvHfRXOrRQ88Yat26teQ69MILL4ja0BiqnMybNw8NGjSAh4cHPDw8kJSUhHXr1ln2P3LXH0ZUWJYuXcocHR3ZV199xQ4dOsSGDx/OvLy82KVLl8q7a0QZMmXKFFavXj128eJFy+Pvv/+27H/hhRdYaGgo27x5M9uzZw9r1qwZa968uWX//fv3Wf369VlycjLbt28fW7t2LfP19WUTJkywtPnf//7HXF1d2bhx49jhw4fZnDlzmL29PVu/fn2ZvleidFi7di1788032apVqxgAtnr1atH+6dOnM09PT7ZmzRq2f/9+1rVrV1ajRg12+/ZtS5uOHTuyuLg49scff7CdO3eyyMhI1r9/f8v+vLw8FhAQwAYOHMiysrLYd999x1xcXNhnn31mafP7778ze3t7NmPGDHb48GE2ceJE5uDgwA4ePPjAPwPCNrTG0ODBg1nHjh1F16Xc3FxRGxpDlZeUlBS2YMEClpWVxTIzM1nnzp1ZWFgYu3HjhqVNWd27aC71aKJnDLVq1YoNHz5cdB3Ky8uz7KcxVHn58ccf2S+//MKOHTvGsrOz2RtvvMEcHBxYVlYWY+zRu/6QwV+Badq0KRs5cqTleWFhIQsODmbTpk0rx14RZc2UKVNYXFyc7L5r164xBwcHtmLFCsu2I0eOMAAsLS2NMVY8cbezs2M5OTmWNvPmzWMeHh7s7t27jDHGXn31VVavXj3RuVNTU1lKSkopvxuirOGNtaKiIhYYGMjef/99y7Zr164xJycn9t133zHGGDt8+DADwP78809Lm3Xr1jGTycTOnz/PGGPs008/Zd7e3pYxxBhjr732GouOjrY879u3L3viiSdE/UlMTGTPP/98qb5H4sGiZPB369ZN8RgaQ4SQy5cvMwBs+/btjLGyvXfRXKpiwI8hxooN/jFjxigeQ2OIEOLt7c2+/PLLR/L6QyH9FZSCggJkZGQgOTnZss3Ozg7JyclIS0srx54R5cHx48cRHByMmjVrYuDAgTh79iwAICMjA/fu3RONk5iYGISFhVnGSVpaGmJjYxEQEGBpk5KSgvz8fBw6dMjSRngOcxsaaxWPU6dOIScnR/R9e3p6IjExUTRmvLy80LhxY0ub5ORk2NnZIT093dKmZcuWcHR0tLRJSUlBdnY2/vnnH0sbGlcVl23btsHf3x/R0dF48cUXcfXqVcs+GkOEkLy8PACAj48PgLK7d9FcquLAjyEzS5Ysga+vL+rXr48JEybg1q1bln00hggAKCwsxNKlS3Hz5k0kJSU9ktefKsbeMvGocOXKFRQWFooGGgAEBATg6NGj5dQrojxITEzEwoULER0djYsXL+Lf//43WrRogaysLOTk5MDR0RFeXl6iYwICApCTkwMAyMnJkR1H5n1qbfLz83H79m24uLg8oHdHlDXm71zu+xaOB39/f9H+KlWqwMfHR9SmRo0aknOY93l7eyuOK/M5iEeXjh07omfPnqhRowZOnjyJN954A506dUJaWhrs7e1pDBEWioqKMHbsWDz22GOoX78+AJTZveuff/6huVQFQG4MAcCAAQMQHh6O4OBgHDhwAK+99hqys7OxatUqADSGKjsHDx5EUlIS7ty5A3d3d6xevRp169ZFZmbmI3f9IYOfICo4nTp1svzfoEEDJCYmIjw8HMuXLydDnCCIcqFfv36W/2NjY9GgQQPUqlUL27ZtQ7t27cqxZ8TDxsiRI5GVlYXffvutvLtCPKIojaHnnnvO8n9sbCyCgoLQrl07nDx5ErVq1SrrbhIPGdHR0cjMzEReXh5WrlyJwYMHY/v27eXdLaugkP4Kiq+vL+zt7SWKkZcuXUJgYGA59Yp4GPDy8kJUVBROnDiBwMBAFBQU4Nq1a6I2wnESGBgoO47M+9TaeHh4kFOhgmH+ztWuLYGBgbh8+bJo//3795Gbm1sq44quYRWPmjVrwtfXFydOnABAY4goZtSoUfj555+xdetWhISEWLaX1b2L5lKPPkpjSI7ExEQAEF2HaAxVXhwdHREZGYmEhARMmzYNcXFxmDVr1iN5/SGDv4Li6OiIhIQEbN682bKtqKgImzdvRlJSUjn2jChvbty4gZMnTyIoKAgJCQlwcHAQjZPs7GycPXvWMk6SkpJw8OBB0eR748aN8PDwQN26dS1thOcwt6GxVvGoUaMGAgMDRd93fn4+0tPTRWPm2rVryMjIsLTZsmULioqKLBOqpKQk7NixA/fu3bO02bhxI6Kjo+Ht7W1pQ+OqcvDXX3/h6tWrCAoKAkBjqLLDGMOoUaOwevVqbNmyRZK6UVb3LppLPbpojSE5MjMzAUB0HaIxRJgpKirC3bt3H83rjyGJP+KRYunSpczJyYktXLiQHT58mD333HPMy8tLpBhJVHxefvlltm3bNnbq1Cn2+++/s+TkZObr68suX77MGCsuLRIWFsa2bNnC9uzZw5KSklhSUpLleHNpkQ4dOrDMzEy2fv165ufnJ1taZPz48ezIkSNs7ty5VJbvEeb69ets3759bN++fQwAmzlzJtu3bx87c+YMY6y4LJ+Xlxf74Ycf2IEDB1i3bt1ky/I1atSIpaens99++43Vrl1bVFLt2rVrLCAggA0aNIhlZWWxpUuXMldXV0lJtSpVqrAPPviAHTlyhE2ZMoVKqj0iqI2h69evs1deeYWlpaWxU6dOsU2bNrH4+HhWu3ZtdufOHcs5aAxVXl588UXm6enJtm3bJiqZduvWLUubsrp30Vzq0URrDJ04cYK99dZbbM+ePezUqVPshx9+YDVr1mQtW7a0nIPGUOXl9ddfZ9u3b2enTp1iBw4cYK+//jozmUxsw4YNjLFH7/pDBn8FZ86cOSwsLIw5Ojqypk2bsj/++KO8u0SUMampqSwoKIg5Ojqy6tWrs9TUVHbixAnL/tu3b7MRI0Ywb29v5urqynr06MEuXrwoOsfp06dZp06dmIuLC/P19WUvv/wyu3fvnqjN1q1bWcOGDZmjoyOrWbMmW7BgQVm8PeIBsHXrVgZA8hg8eDBjrLg036RJk1hAQABzcnJi7dq1Y9nZ2aJzXL16lfXv35+5u7szDw8PNmTIEHb9+nVRm/3797PHH3+cOTk5serVq7Pp06dL+rJ8+XIWFRXFHB0dWb169dgvv/zywN43UXqojaFbt26xDh06MD8/P+bg4MDCw8PZ8OHDJRMYGkOVF7mxA0B0XynLexfNpR49tMbQ2bNnWcuWLZmPjw9zcnJikZGRbPz48SwvL090HhpDlZNnn32WhYeHM0dHR+bn58fatWtnMfYZe/SuPybGGDMWE0AQBEEQBEEQBEEQxMMO5fATBEEQBEEQBEEQRAWEDH6CIAiCIAiCIAiCqICQwU8QBEEQBEEQBEEQFRAy+AmCIAiCIAiCIAiiAkIGP0EQBEEQBEEQBEFUQMjgJwiCIAiCIAiCIIgKCBn8BEEQBEEQBEEQBFEBIYOfIAiCICohzzzzDLp3715urz9o0CC8++67qm0iIiLw8ccfl0l/CgoKEBERgT179pTJ6xEEQRBEWVClvDtAEARBEETpYjKZVPdPmTIFs2bNAmOsjHokZv/+/Vi7di3mzZtXLq8vh6OjI1555RW89tpr2Lx5c3l3hyAIgiBKBTL4CYIgCKKCcfHiRcv/y5Ytw+TJk5GdnW3Z5u7uDnd39/LoGgBgzpw56NOnT7n2QY6BAwfi5ZdfxqFDh1CvXr3y7g5BEARB2AyF9BMEQRBEBSMwMNDy8PT0hMlkEm1zd3eXhPS3bt0ao0ePxtixY+Ht7Y2AgAB88cUXuHnzJoYMGYKqVasiMjIS69atE71WVlYWOnXqBHd3dwQEBGDQoEG4cuWKYt8KCwuxcuVKdOnSRbT98uXL6NKlC1xcXFCjRg0sWbJEcuzMmTMRGxsLNzc3hIaGYsSIEbhx4wYA4ObNm/Dw8MDKlStFx6xZswZubm64fv06CgoKMGrUKAQFBcHZ2Rnh4eGYNm2apa23tzcee+wxLF26VPdnTRAEQRAPM2TwEwRBEAQBAFi0aBF8fX2xe/dujB49Gi+++CL69OmD5s2bY+/evejQoQMGDRqEW7duAQCuXbuGtm3bolGjRtizZw/Wr1+PS5cuoW/fvoqvceDAAeTl5aFx48ai7c888wzOnTuHrVu3YuXKlfj0009x+fJlURs7OzvMnj0bhw4dwqJFi7Blyxa8+uqrAAA3Nzf069cPCxYsEB2zYMEC9O7dG1WrVsXs2bPx448/Yvny5cjOzsaSJUsQEREhat+0aVPs3LnT2o+QIAiCIB4qKKSfIAiCIAgAQFxcHCZOnAgAmDBhAqZPnw5fX18MHz4cADB58mTMmzcPBw4cQLNmzfDJJ5+gUaNGIvG9r776CqGhoTh27BiioqIkr3HmzBnY29vD39/fsu3YsWNYt24ddu/ejSZNmgAA/vvf/6JOnTqiY8eOHWv5PyIiAm+//TZeeOEFfPrppwCAYcOGoXnz5rh48SKCgoJw+fJlrF27Fps2bQIAnD17FrVr18bjjz8Ok8mE8PBwSf+Cg4Nx5swZaz4+giAIgnjooBV+giAIgiAAAA0aNLD8b29vj2rVqiE2NtayLSAgAAAsK+/79+/H1q1bLZoA7u7uiImJAQCcPHlS9jVu374NJycnkbDgkSNHUKVKFSQkJFi2xcTEwMvLS3Tspk2b0K5dO1SvXh1Vq1bFoEGDcPXqVUvEQdOmTVGvXj0sWrQIAPDNN98gPDwcLVu2BFAcRZCZmYno6Gj861//woYNGyT9c3FxsZyPIAiCIB51yOAnCIIgCAIA4ODgIHpuMplE28xGelFREQDgxo0b6NKlCzIzM0WP48ePW4xsHl9fX9y6dQsFBQWG+nb69Gk8+eSTaNCgAb7//ntkZGRg7ty5ACA617Bhw7Bw4UIAxeH8Q4YMsfQ7Pj4ep06dwn/+8x/cvn0bffv2Re/evUWvk5ubCz8/P0N9IwiCIIiHFTL4CYIgCIKwivj4eBw6dAgRERGIjIwUPdzc3GSPadiwIQDg8OHDlm0xMTG4f/8+MjIyLNuys7Nx7do1y/OMjAwUFRXhww8/RLNmzRAVFYULFy5Izv/UU0/hzJkzmD17Ng4fPozBgweL9nt4eCA1NRVffPEFli1bhu+//x65ubmW/VlZWWjUqJE1HwdBEARBPHSQwU8QBEEQhFWMHDkSubm56N+/P/7880+cPHkSv/76K4YMGYLCwkLZY/z8/BAfH4/ffvvNsi06OhodO3bE888/j/T0dGRkZGDYsGFwcXGxtImMjMS9e/cwZ84c/O9//8PixYsxf/58yfm9vb3Rs2dPjB8/Hh06dEBISIhl38yZM/Hdd9/h6NGjOHbsGFasWIHAwEBR6sDOnTvRoUOHUvh0CIIgCKL8IYOfIAiCIAirCA4Oxu+//47CwkJ06NABsbGxGDt2LLy8vGBnpzzFGDZsmKTs3oIFCxAcHIxWrVqhZ8+eeO6550TCfnFxcZg5cybee+891K9fH0uWLBGV1BMydOhQFBQU4NlnnxVtr1q1KmbMmIHGjRujSZMmOH36NNauXWvpa1paGvLy8iRh/gRBEATxqGJijLHy7gRBEARBEJWH27dvIzo6GsuWLUNSUlKpn3/x4sV46aWXcOHCBTg6Ouo+LjU1FXFxcXjjjTdKvU8EQRAEUR5QWT6CIAiCIMoUFxcXfP3117hy5UqpnvfWrVu4ePEipk+fjueff96QsV9QUIDY2Fi89NJLpdongiAIgihPaIWfIAiCIIgKwdSpU/HOO++gZcuW+OGHH+Du7l7eXSIIgiCIcoUMfoIgCIIgCIIgCIKogJBoH0EQBEEQBEEQBEFUQMjgJwiCIAiCIAiCIIgKCBn8BEEQBEEQBEEQBFEBIYOfIAiCIAiCIAiCICogZPATBEEQBEEQBEEQRAWEDH6CIAiCIAiCIAiCqICQwU8QBEEQBEEQBEEQFRAy+AmCIAiCIAiCIAiiAkIGP0EQBEEQBEEQBEFUQP4PPnOGgAz7XDUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,5))\n",
    "ax = plt.subplot(111)\n",
    "plt.plot(times,ecc[0],label=labels[1])\n",
    "plt.plot(times,ecc[1],label=labels[2])\n",
    "plt.plot(times,ecc[2],label=labels[3])\n",
    "plt.plot(times,ecc[3],label=labels[4])\n",
    "ax.set_xlabel(\"Time (days)\")\n",
    "ax.set_ylabel(\"Eccentricity\")\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot their x-locations as a function of time as well, and observe their relative motions around Jupiter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rV0O7dGlKrqnbsAHaVasgOBwYfuKJlFyTwUgF9qYmWA4cAORy8txIATKVCgU3kKyBoYcfhsCyBhjTBEEQMPr00wCAwhtugEylSsl1C77uyRo4cgSW/QdSck0GIxWMPPkUBKcTunXroNuwISXX1C5biqzzzwcEAaPP/Ccl15yJMGEghajmzEHOpVsAsKwBxvRBcDox5nGlzfv851N2XY7jUECzBv7zLNxGY8quzWAkk9H/PAsAyL7gfChLS1N23dyrPwN5USFcPb0wvf12yq7LYCQTy759cLS3Q6bXI+cTn0zZdZXFxTBceSUAiLXYDEamwzscML7yCgAg/2tfTUm2ACXvC18AQLqL8FZryq47k2DCQIop+PrXAQCmN99kpmmMacH4u+/BNTAAeWEhcrZcktJrZ513HtQLFoC3WGB89bWUXpvBSAa82Qzj1q0AgNxrkmeQFgiZWo28q0n6s/Gll1J6bQYjWdB2ajmf/ATkWcnpRBCMPE85wfjbb8M1MpLSazMYyWB8+9twj41BUVqKrHPPTem19Zs2QllRAX58HKY33kzptWcKTBhIMZolS0jaDc9jzBP8MRiZDE3RzL36M+BSlKJJ4ThOrBcdY3XRjGmA8bX/gTeboaqshD7Jhk6BMHzqUwDHwbx7DxydnSm/PoORSFyDgxh/5x0AQJ6nU0Aq0SxZAs2yZRCcThi3/jfl12cwEg31Fsj9zGfAyeUpvTYnkyH3syTmG32eZeEkAyYMSEDupz8FADC+shUCz0s8GgYjdmynT4u10FIEXQBg+MTl4FQq2OvrYa2tlWQMDEYiEAQBo/8htZO5114DTpb6R7Rqdjn0m0g/6jGWNcDIcMZeehlwuaBdtQqaRYskGQNdyIw9/zwzIWRkNPbWVlj27wdkMuR+5tOSjCH3U58ClErYjh2Hrb5ekjFMZ5gwIAHZF18MWVYWnF1dsBw4KPVwGIyYGX3mGQBA9oUXprQW2hd5bi6yL7oIAEt/ZmQ21iNHYW9oAKdWI9dTmywFNAvH+PIrEFwuycbBYMSD4HZj7IUXAAC510gjXANAzmUfB6fTwdHWRoR0BiNDGXuefJ6yzjtPsphPUVCAnItJzDfKvDsSDhMGJECm1SLnYx8DABhfZgsZRmbiHh8X6/pTaToYCAPNwnntf+BtNknHwmDECs0WyPn4xyHPzZVsHNkXnA95Xh5cAwOY2LlTsnEwGPFg3rULzu5uyAwG5Fx6qWTjkGfpYfj4xwEAYy+8KNk4GIx48DUdpFkwUpH7WSL0mV59De4Js6RjmW4wYUAiaDmB6a3tcE9MSDwaBiN6TK+/AcFigapmHnQbzpB0LPqNG6EsKwM/Po7xt9+RdCwMRiy4RkYwvm0bACDv2mslHQunUnnd1F9k4jUjM6Gmg7lXXgmZRiPpWHI/6zEhfOstuEZHJR0LgxELfqaD55wj6Vh0G86AqqoKvMUC0+uvSzqW6QYTBiRCs3IlVHPnQrDZYHqTOWsyMg/T//4HAMi96qqUtqsJBCeTEdM0sLpoRmZi+t/rEJxOaJYuhXb5MqmHI9aPTnzwAZwDAxKPhsGIDmdfHyY++AAAkCuR/40vmmVLoV6yGILDAdOrr0o9HAYjavxMBxUKScfCcZz4uR597llJxzLdYMKARHAch9xPXQUAML7E3NQZmYWzrw+WQ4cAQCyLkZrcq64EOA6WvXuZmzoj4zC98QYAwHBF6vqsh0I9bx60a9YAbjeMr2yVejgMRlSYXn8d4Hno1q2Dem611MMBx3HI82QNjD7/AjMhZGQUjrY2r+mgJ+NZagxXXgFOqYS9rh72xkaphzNtYMKAhOR88pOAXA7r0aOwt7RIPRwGI2JMb7wJCAK0a9dCWVYm9XAAAMrycrG9G62DYzAyAWd3N6xHjwIch+wt0tVCTyb3M58BQLJw2EKGkUnQHuc5l39c4pF4ybn8cnBqNRzNzbCfOiX1cBiMiKGZzfpNm6CcNUvi0RAUeXnQe0oaWOZ14mDCgIQoi4uRdfbZANhChpFZ0JqunI9fJvFI/KHpz2OsFSgjgzB5vAV069dDWVIs8Wi85Fy6BZxWC2dHB2y1dVIPh8GICEdHB2y1tYBMhuxLLpF6OCLyrCxknXsuAMC07S2JR8NgRI7pTfKMSpcMUUrOx4iQbnpzGxOvEwQTBiRGdFP/76tsIcPICBxtbSTokssldXoORNaFF0Km08HV2wvbiRNSD4fBiAjT66SMIOey9Aq6ZDodss47DwAxTWMwMgG6iNGfuQGK/HyJR+NP9qVbAACmbW+yhQwjI7C3tMB++jSgVCL7ogulHo4fWeefD06lgqO1lYyRETdMGJCYrPPOg0yvh2tgALbjx6UeDoMRFqMnW0C/cWPaBV0ytRpZmzcDAEzbt0s7GAYjAhxtbbDV1QFyeVrtblJytpAxmd56iy1kGBkBTSvOTrPdTQDI3rwZnFoNZ3sHKydgZAQ0o02/8UzIDQaJR+OPPCsLWed5snDeYOUEiSDjhIEHH3wQVVVV0Gg02LBhA/bv3x/y+BdeeAGLFi2CRqPB8uXL8YbH4Iny8ssv45JLLkFBQQE4jsPRo0ennMNms+E73/kOCgoKkJWVhU9/+tPo7+9PyO8jU6vFHRnT228n5JwMRrIQBMG7u/nx9Knd9IUursbf2s4WMoy0R6zdTEOhDQCyzj2XLGQ62EKGkf7YW1rJfapQIPuii6QezhRkej2yzvXURbNyAkYGMO65T3MuTT+hDQCyPZmrLAsnMWSUMPDcc8/hlltuwW233YbDhw9j5cqV2LJlCwaCtFLavXs3rr32Wnzta1/DkSNHcOWVV+LKK6/EyZMnxWPMZjPOPvts/OlPfwp63R/84Ad47bXX8MILL2DHjh3o6enBpz6VOFdOcSHz9jvspmakNfaGBjhaWsCpVMi+OP2CLgDIOvcccBoNnF1dsNfXSz0cBiMktBtBzmXp5ddBIQsZz44MKydgpDmmbT5CW16exKMJDF3IjG9jddGM9Mbe3OwtI7jwAqmHE5DszZtJzNfeQbLvGHGRUcLAX//6V9xwww24/vrrsWTJEjz00EPQ6XR4/PHHAx7/t7/9DZdeeil+/OMfY/HixbjjjjuwZs0aPPDAA+IxX/ziF/HrX/8aFwVRlo1GIx577DH89a9/xQUXXIC1a9fin//8J3bv3o29e/cm5PfKOuds744Mq5FhpDHUdDDrvPMgz8qSeDSBkel0yKJOtaycgJHG2E6fhr2xCVwa1m76kr2F1EWPb2PlBIz0ZtyTgZNuJmm+0HICR3s7y8JhpDViGcGmjWlXRkCR6fVeLxzPeBmxkzHCgMPhwKFDh/wW8DKZDBdddBH27NkT8DV79uyZsuDfsmVL0OMDcejQITidTr/zLFq0CHPmzAl6HrvdDpPJ5PcvFDK9HnpPd4Lxt9hChpGeZEIZAYWVEzAyAZotoD/nHMhzciQeTXCyNp9HDJ7a2mA/zfpFM9ITe2Mj7I1NaWmS5gsrJ2BkCuleRkBh3QkSR8YIA0NDQ3C73SgpKfH7fklJCfr6+gK+pq+vL6rjg51DpVIhNzc34vP84Q9/gMFgEP9VVFSEvU7OJRcDAMaZzwAjTbHV1sHZ0wNOp0PW5vOkHk5Iss7fDE6phKO1FY6mJqmHw2BMQRAE0V8gXcsIKPKsLB/xmi1kGOkJ/TxlnXVWWgttAJC9hZUTMNIbe3Mz7I2NaV1GQMk691zSWrerCzafcnFG9GSMMJBJ3HrrrTAajeK/zs7OsK/J2rwZUCiI4t3amvxBMhhRMvH++wCArLM2QabRSDya0MizsqDftAkAKydgpCf2xkY42zuIX8f5m6UeTlhyaJs1Jgww0hAitHl6radZ289AZPmWEzQ0SD0cBmMKtIwga9OmtBfaZDqd+Byl8wAjNjJGGCgsLIRcLp/SDaC/vx+lpaUBX1NaWhrV8cHO4XA4MDY2FvF51Go1cnJy/P6FQ24wQL9hAwBg/J13Ih4fg5EqRGFg8/kSjyQyxLro7SwLh5F+THywAwCg23gmZHq9xKMJT9b55wNKJRzNzbCzLBxGmuFobYOjtRVQKpF1QXrvbgKAPMunnIAtZBhpCK3Xp2aZ6Y6YhfP22ywLJw4yRhhQqVRYu3Yt3n33XfF7PM/j3XffxcaNGwO+ZuPGjX7HA8Dbb78d9PhArF27Fkql0u88DQ0N6OjoiOo8kZB9MS0nYMIAI71w9vcTt1eOS/syAkr2BeeTLJyGBjja26UeDoPhx8QHHwAgRmSZgDw7G1k0C4fVRTPSjIkdRGjTr1+Xtsa4k6ELmYn33g1zJIORWhydncSvQy4nsVQGkHX2WeCUSjg7O+FobZN6OBlLxggDAHDLLbfgkUcewZNPPon6+nrceOONMJvNuP766wEAX/rSl3DrrbeKx3/ve9/Dtm3bcPfdd+PUqVO4/fbbcfDgQdx0003iMSMjIzh69CjqPC0uGhoacPToUdE/wGAw4Gtf+xpuueUWvP/++zh06BCuv/56bNy4EWeeeWZCf7/siy4EOA6248fh7O1N6LkZjHigu5vaFSugKCiQeDSRIc/Nhf6MMwAAJmbqyUgjXKOjsB49CgCim3ImQE09J957T+KRMBj+UKEtK0OENoB0pIJMBntjE5zd3VIPh8EQmdjxIQBAt2ZN2nYjmIxMr4du/XoAXqGQET0ZJQx87nOfw1/+8hf8+te/xqpVq3D06FFs27ZNNBjs6OhAr8+CetOmTXjmmWfw8MMPY+XKlXjxxRexdetWLFu2TDzm1VdfxerVq/Fxj8v6Nddcg9WrV+Ohhx4Sj7nnnntw+eWX49Of/jTOPfdclJaW4uWXX07476coLIR27RoALGuAkV6IZQTnb5Z0HNGS7TH1pONnMNIB80cfATwP9cKFUJaVST2ciMk671wAgK2uDq7BQYlHw2AQ3OPjsBw6BCCzhDa5wQDt6tUAgImdOyUeDYPhZeJDsrCmc36mQMfLhIHYyShhAABuuukmtLe3w263Y9++fdjgqcsHgA8++ABPPPGE3/FXX301GhoaYLfbcfLkSVw2yf35K1/5CgRBmPLv9ttvF4/RaDR48MEHMTIyArPZjJdffjkqn4JoyPa0RaTqN4MhNbzVCrOnNWfW+ZmRUkbJOpc8JKzHjsFtNEo8GgaDMPH+BwAya3cTIOK1ZulSAMDER7skHg2DQTDv2g24XFBVVUFVWSn1cKKCPqPoDi2DITW81QrLvv0AMktoA7zjtRw8CPfEhMSjyUwyThiY7mSd67mpDxwAb7FIPBoGAzDv3QvBboeibBbUCxZIPZyoUJaVQVUzD+B5mHfvlno4DAYEpxMTH30EABnj1+GL3mOYRneUGAypobuDmbaIAbw7nOa9e8Hb7RKPhsEAzPv2iTGfqqZG6uFEhSgOulxEMGREDRMG0gxVdRWU5eUQnE5YDhyQejgMhri7mb35fHAcJ+1gYiDrHM+OzIcsVZMhPZYjR8CbTJDn5UG7YoXUw4kausNp3rUbgssl8WgYMx2B5zHxIdltz0ShTb1wIRQlJRCsVlj2s5iPIT1m+nk677zMjPk88wArJ4gNJgykGRzHQX/O2QCAiZ0fSTwaxkxHEASvqVOGlRFQaEuoiY92QuB5iUfDmOlQI8+sc88FJ5dLPJro0a5YAbnBAN5kgvX4camHw5jh2Gpr4R4eJsZja9dKPZyo4TjOW07wISsnYEgLifm8z6hMhGYOTXz4IYv5YoAJA2lI1jlkIWNmZjQMibHV1sE1MABOp4PujPVSDycmtGvXgtPp4B4cgr2hQerhMGY4XqFts5TDiBlOLof+bI94zeqiGRJDM9r0Z50FTqWSdjAxIhqmsfIchsQ4mpvh7OkBp1JBn+DOa6lCt24dZDod3ENDsNXVSz2cjIMJA2mIbsOZgEIBR3s7HB0dUg+HMYMRFzFnbYJMrZZ2MDEiU6mg95iUsnIChpQ42tvhaGkBFArozzpL6uHEjJiFs5MJAwxpyWR/AYruzI2AUglnewccbW1SD4cxg6GfJ92GDZBptRKPJjY4lQr6szYBACZ2fCDtYDIQJgykIfIsPXRrSNtCalLFYEiBGHRtzswyAgpbyDDSATHoWrcO8uxsiUcTOzRjwF5XD+fAgMSjYcxUnAMDsNXWAvDO8ZmIPEsP3TpSBsHKCRhSQrPAMrWMgCKWE7CstqhhwkCaQn0GzMxngCER7rEx2E6eBOBdCGQqek95jvXIUbhNJolHw5ipiLWbGWiS5ouioACa5csBsGcUQzpouaVm+XIoiookHk180I5UbCHDkAr3+Dgshw8DyPxnlN4jbNhOnIBreFji0WQWTBhIU0SfgX37wDscEo+GMRMx79sPCAJUNfOgLCmWejhxoZo9G6rqasDthnnPXqmHw5iB8HY7LIcOAQCyMlxoA7zPqAnmhcOQCHF3M4PLCChi//X9+8GbzRKPhjETMe/aDbhcUFVXQ1VRIfVw4kJZXAzNkiWAILAS0ihhwkCaol64EPKiQggWC6yeYJLBSCXmPaQHrH7TJolHkhhYOQFDSqxHjpDe0EVFUM2bJ/Vw4kbsv75rF2tbyEg5gtsN814i8madnbl+HRRVdRWUFRUQnE7x92IwUsnEh9NHaAMAvSfmM+/eLfFIMgsmDKQpHMch62y6kGGpmozUY969BwCg37hR4pEkBv05noXMzo8gCILEo2HMNMTP06aNGdkbejKaZcsgz80FPz4O69GjUg+HMcOw1dWDN5kgy8qCZtkyqYcTNxzHeTNFPXMFg5EqBEGAeY/nGTUNMtoAQH8miV3Ne/ewmC8KmDCQxmSJPgMsDYaRWhxdXXB2dAByOXTrz5B6OAlBt34dOI0Grv5+2E+flno4jBkG3QXUTROhzbdtIduRYaQa816yiNGtXw9OoZB4NIlBt5G0hzPvYxkDjNTi7OiAq7cXUCqhW7tG6uEkBO3qVeDUargHh+BobpZ6OBkDEwbSGN3GjYBMBntjI5x9fVIPhzGDoMqxduVKyLP0Eo8mMcjUaug2EJHDvIstZBipw200eo08p4kwAAB6upDZu0/ikTBmGhaPV8y0+jytXw9wHBxNzazbByOlUO8l3cqVGdumcDIytVoUOZi3VOQwYSCNUeTlQbOcpMixhQwjlVj2TK8yAop+A1nIWPaxhQwjdZj37wd4Hqq5c6EsKZF6OAlDt2EDAMB6/DgzTGOkDN7hEN3TqTg1HZDn5kKzeDEAwLJvv8SjYcwkaJaKbhp9ngBAJ5YTMGEgUpgwkObQGhnLfraQYaQGgedFdVW/aXoJAzRjwHLwIDNMY6QMUWg7c3oFXarZs6EsLwdcLnGhxmAkG+uRoxBsNsiLCqGqqZF6OAlFdybNwmE+A4zUIPA8LJ6sr2m3GXQmEa8t+/dDcLslHk1mwISBNEdPU5/3H2DmGYyUYD91Cu7RUch0OmhXrJB6OAlFs2gRZAYDeLMZttpaqYfDmCFMV6ENAHQ08GJZOIwUQRfN+g1nTgsjT19oBoSFlecwUoT99Gm4R0fB6XTQTgMjT180S5dClp0Nfnwctro6qYeTETBhIM3Rrl4NKJVw9fbC2dkp9XAYMwDqL6A74wxwSqXEo0ksnFwO3fp1AAAzS9VkpABnby8cra2ATAbdGdPDyNMX/ZnMZ4CRWrz+AtMrAwcAdGvWAAoFnN3dcHR1ST0cxgxANMZdtxacSiXxaBILJ5eLz13mMxAZTBhIc2Rarbhra2Y7MowU4NtWbTqiP8Ozw8lqzhgpgAYjmmXLIM/JkXg0iUfn+TzZ6urgNholHg1juuOemID1xAkA0680BwBker035tvDygkYyUcU2jZMv88T4J0nLKw8JyKYMJAB0HICZkbDSDa83Q7LoUMApl+tGYUaplmOHIHgcEg8GsZ0xzxNjTwpypJiqKqrAZ6H5eBBqYfDmOZY9h8A3G4o58wh/hbTEO9Chm0GMZKL4HTCcuAAgOmZgQP4lOccOgzebpd4NOkPEwYyALojY9m3j/kMMJLKdDZ1oqjn10Cenw/BahV3nhiMZCAIgrceepoKA4DXZ4CVEzCSjfh5mobZAhTx88RiPkaSsZ48Cd5igdxggHrRIqmHkxRU8+ZBXlQIwW6H9chRqYeT9jBhIAPQrl4FTqWCa3AQjtY2qYfDmMaIu5tnbpx2pk4UzqfWm5XnMJKJo6kJ7sEhcGo1tKtXST2cpMHagDJSxXT2F6BoV60Cp1bDPTQER1OT1MNhTGPonK3bsAGcbHouCTmOE59RrNtHeKbnXTDNkKnV0K5aBYC1LWQkF5oKTFu8TFfE8hy2w8lIItRfQLd2LWRqtcSjSR60Daj99Gm4hoclHg1juuIaGoK9sRGAtyRsOiJTqaBbuwYAy8JhJBfzDBDaANbtIxqYMJAhiP3X9zOfAUZy4G022I4fBwDo1q2TeDTJhQaV1qNHWc0ZI2nQ2s3p2I3AF0VeHtQLFwJgzyhG8qCLZPWiRVDk50s8muSiO5OUHpn3MZNcRnLgbTZYjxwBAOimcWkO4C09sp44AffEhMSjSW+YMJAh6Gnq8/4DrOaMkRSsx49DcDqhKCqCcs4cqYeTVFTV1VAUFUFwOFjNGSMpCIIgGnnqzlgv8WiSj575DDCSjOWgxyRtw/QW2gDv58my/wAEt1vi0TCmI1aPAbOipASqqiqph5NUlOXlUFZUAG43rJ7nMiMwTBjIEDQrV3przpqbpR4OYxpCywh069dNW38BCsdxYtYA25FhJANHayvcIyPgVCpoli2TejhJR0d9BlgbUEaSoM8o7TTPaAMAzZIlkGVlgTeZYKs/JfVwGNMQMaNtwxnTPuYDvJmwloNMGAgFEwYyBJlKBe2a1QCYYRojOVhnUNAF+JTnsDagjCRgOeD5PK1cCZlKJfFoko9u/TpAJoOjvR3O/n6ph8OYZrhGR+FoIpsiurVrJR5N8uEUCjHmsx5mCxlG4qEL5OleOkrRrSPzhoVlDISECQMZhJ72X2cLGUaCEZxOWDwp9TPlIUE/T9bjx8FbLBKPhjHdsBzyZuDMBOTZ2dB42l3RnV0GI1FYDx8GQFqPTXd/AYpuLdvhZCQHweGA9dgxADMn5qOCou3ECeYtFQImDGQQujNozdl+CDwv8WgY0wlbbS0Eq5X0sq2pkXo4KUFZUQFFaSngcsHqMV1kMBKFWJozQ4IuANB6dmSshw5LPBLGdEPc3ZwB2QIU3x1O5i3FSCTW2loIdjvkeXlQVVdLPZyUoKyshLywEILTKRptM6bChIEMQrt8GTitFu6xMThaWqQeDmMa4Vu7OV172U6G4zjo1pCWUCy1jJFInN3dcPX0AnI5tCtXSj2clKFb41nIHGbCACOxeIW2mSMMaJYtA6dUwj08DGd7u9TDYUwjqAGfdu2aGeEvAHhivrWsnCAcM2MFME3glEpoV6wAwAIvRmKh9dAzaXcTIA9FgO1wMhILDTo0S5dCptdLPJrUQXuv2xsa4DaZJB4NY7rAm82w1dUBmFnPKJlaDQ2N+dhChpFAvBk4M+fzBHgzjlh5TnCYMJBhiGY0bCHDSBCC2y0KTbr107+tmi/0IWE9ehSCyyXxaBjThZkqtCmKiqCsnAMIAqxHj0o9HMY0wXrsGOB2Q1E2C8qyMqmHk1LYQoaRaASeh+XIEQAzKwMH8P6+1iNHWBvQIDBhIMNgqZqMRGM/fRr8+Dhkej00ixZKPZyUop4/n7SEslhga2iQejiMaQLd3ZtpQRfg84xi4jUjQYhlBDNsdxPwZuFYWGcCRoKwNzaBNxrB6XTQLF4s9XBSinrhQhLzmc2wnWJtQAPBhIEMQ7tqJcBxcHZ2wjkwIPVwGNMAsa3amjXgFAqJR5NaOLkc2tW0JdQRiUcTP4IgMJMqiXEND4seMNTDYiYhLmQOJbYzgdVlTej5GJnDdG6rZnFaQs7Z2tWrSczX3gHX4GAKR8aYrogdc1atTFrM53Q74eSdSTl3PPjFfKw8JyBMGEgjBi2DuOvAXbj0pUvx36b/BjxGnp0N9UKyqzsdFjJSMGgZxHVvXIdvvfMt7O7ZPeMXUsl2TzfajXjx9Iv49jvfxiPHH0nKNeJhuuzI2Fw2fOPtb+CiFy7Ci6dfhJtnaXLJpM/chzdb38Tv9v4Ofz30VzEIoosY9YIFkOfmSjhCadDSllDHT4B3OOI+Hy/wuH337djw9AbcufdOJhAkEaPdiJNDJ/Fu+7t4uv5pPHbiMZidZknH5N9WbXpl4Dzf8DzOevYs3LD9BozZxgIeI8/JEWM+5jMQG81jzdjeth3vtL+D9zrew86unZLf11JiPUiNB5PzeTrQdwAXv3gxPvHKJ9BqbE3KNeJhupTnnBg8gfsO34fnG57H7u7d6DR1JiTum1nbg2lKz0QPHj/5OF5pfAUOngRSt+++HZU5lVhVvGrK8bo1a2A/dQrWI4eRc+mWFI82s3HyTvxox49wbJAEGru6d2Fx/mJcv+x6bKnaAhk3s7QyQRC8wkCC+63XDtfi0eOPYkfXDnHRtLN7J+Ya5uLCygsTeq140K7xGhAKgpCRDr28wOMXH/0Ce3v3AgB+s+c3eL7hefx8w88DziGM2NnXuw+37b4N3RPdft/PVmbjhhU3eHdjpuHuZiSoqqogLyiAe3gYtpO10Hl8cWJBEAT8ft/v8VLjSwCA5xqew4G+A/jjOX/E4oKZlQKbbA71H8LX3/o6XIK/10qbqQ13nHWHRKOa1FZt7lzJxpFIBEHAoycexX1H7gMA7Ovbh2tfvxb3X3A/avKmtgumMZ/l0GHkXHppqoeb0XSYOvDZ1z4rxtaUDbM24JGLH8nI5308CILgLXVLcGmOIAj4z6n/4M8H/gy3QBaoX9n2FTx88cNYmJ8+ZaqT24Bm4j0wZhvDd979Dkbto37fn583H89+/Fmo5KqYzz2zVkFpSOd4Jz796qfxXMNzcPAOrCpahU1lm+ASXPjhBz/EkHVoymu0Yos1VsMZLfcdvg+HBw5Dr9Tjsws+C61Ci/qRevzkw5/gwaMPSj28lONobYV7ZAScWg3NsmUJO6/JYcINb92AdzregZN3oia3BufOPhcAcNue29Bv7k/YteJFu3w5oFTCNTAAZ3d3+BekIQ8ceQDb27dDIVPgK0u/gmxlNupH6vHFN7+I+w7fJ/Xwpg0OtwO/3PVLdE90Q8bJsKRgCS6uvBgA8Pdjf0fzWPOMbKvmi38b0NjLCQRBwL2H78VzDc+BA4evLfsairRFaDG24PNvfB5P1T6VqCHPeHiBx58P/BkuwYU8dR6WFy7H+RXnAwC2Nm3F4X7pYg3fz1MmBvCTEQQBdx+8WxQFrll4DcqzytE10YXr3rwOH3Z9OOU13oVMYstzZgJ3HbwLDt6BUn0pVhevxoqiFVDKlNjXuw/vdb4n9fBSjrO7G67+fkCphHblioSd1+F24Lbdt+EP+/8At+DGx6o/hsX5izFiG8FX3/oqTgyeSNi14kWzfDk4lQru4WE42tqkHk5M3Hv4XozaR1GeVY7zZp+HeYZ5UMgUaBxtxAunX4jr3EwYkJinap/ChHMCNbk1eHzL43jqY0/hns33YJ5hHgasA/jRjh9NqdOhqc+2+nrwFosUw85I3ml/B0/UPgEAuPOsO/Grjb/C9k9vx1eXfRUA8O+6f8PkmFkttqweE0vt8uWQqWJXGCfz7KlnMe4cR7WhGi9+4kW8csUruHfzvVhSsARGuxG/+OgX4AU+YdeLB5lWC+2SJQAys+Zsa9NWPHKClGjcvvF2/HDdD/HaVa/h0/M/DQB49MSj6BrvknKI04aXG19Gn7kPxdpi7LxmJ567/Dncfd7dOKf8HDh5J373zi9gryeGRtoZaJRGSUQb0EdOPILHTz4OAPjVxl/h+2u/j5c++RIuqLgALt6Fuw7ehaMDRxMx3BnP9vbtqBuug06hwytXvIJnPv4M7rvgPnEOuWPvHZLVCyc77TnV3LH3DjxZ9yQA4MfrfoxfnPkL/Ofj/8G6knUwO8246d2bsLt7t99r6O9uP9UA98REysecqezu2Y0POj+AnJPjHxf9A0997Ck8fdnTuH7Z9QCAuw/eDYc7/nKnTIIKbdolSyDTahN23l/u+iVeaXoFMk6GH637Ef50zp/w6JZHsbJoJUwOE76+/es4MpAe5c+kDehyAJkZ8x3uPyxm0f3hnD/ggQsfwNYrt+LnG34OAHj4+MNxlcowYUBCxmxj2Nq0FQDwszN+hvWl68lui1KHe86/B3qlHof6D+GeQ/f4vU45axYUs2YBbjesx49LMPLMo93Ujl/t+hUA4MtLvoyLKi8CAORqcvH9Nd/H/Lz5sLgseL7heSmHmXJoyxpqxpKQczot+FfdvwAA31zxTTGFTClX4k/n/AlahRb7+vaJIk06QAOvTMvCOdx/GL/Z8xsAwA3Lb8AVNVcAAAq0Bbh90+3YVLYJAkh6HyM+7G676JHx9RVfR44qBwDZIf/1xl8jS5kFx4kTgCBAOWcOlCXFUg5XUsQaziNHIPDRC4C7u3fj/iP3AwB+tO5HuHrB1QCAPE0e7j3/Xlw+93IAwLMNzyZoxDMXp9spZhVdv+x6FGgLxJ99f833kafOQ9NYE56pfyblY/NrqzYNhLa64Tq8cPoFyDgZfrvpt/jS0i8BIPf1wxc/jEurLoUAAf+s/aff65QlJVDOng3wPKxHjkow8szDxbtw14G7AADXLLoGc3O9ZSg0+6hzvBNP1z8t1RAlgS6EEym09Zn78FbbWwCABy54AF9e+mVwHIccVQ4evvhhbCjdAIvLgjv33pk2nl50Psk0nwEn78Qde0lp16fnfxqri72x+5U1V6IypxIjthE8WftkzNdgwoCEPNfwHGxuGxbnL8YZpWf4/azaUI3fnfU7AMC/6v6FQ/3+N683VTOzbmqp+PnOn2PCOYE1xWvwvbXf8/sZx3H4ytKvAACern96RinI1qPEayGRwsBLjS9hzD6G2VmzsaXK3wOjylCFn53xMwDA/YfvR+1wbcKuGw+ZakD4wNEH4OJd2FK1BTetvmnKz7+w+AsAgFcaX4HFybKL4uHF0y9iwDqAEl2JuJNKKdWX4sfrf4wFXSTo4ZfOl2KIaYNm8WJwOh14oxH2pqaoX/9i44sASODz5aVf9vsZx3G4bsl1AIDtbdsxbB2Of8AzmBcbX0TneCcKNAX40pIv+f0sV5OLH6z9AQDgwaMPos/cl9Kx2RubwJtMkOl00CxelNJrJwO6EbSlcguumn+V38+UciW+t4bEJnt796JzvNPv56LYxsoJIuKF0y+gaawJuepc3LjyRr+f6ZQ6fHfNdwEA/zj+j4Alu9MVb4ePxAkDrzS+Al7gsb50Pc6ZfY7fz3RKHe7efDdUMhVOj55G/Uh9wq4bD74+A5nEU7VPoWmsCXnqPHx/zff9fqaUKXHz6psBAE/WPhnzs5EJAxJhd9vxzCmiwFN1bTIXVl6IK+aRHcDXml/z+5l2zfRpsZZsmkabcHzoOJQyJe467y4oZcopx3ys6mMo1hVjyDqE11tel2CUqcc9NgZHczMAQLt6VULO6XA7xEyAry7/KhSyqf6mV9VchYsrL4ZLcOHhYw8n5LrxQoURR1MzXKOjYY5OD/rMfTjYR4LEH679YUDjzLPLz0ZVThXGneP4b3PgTieM8NhcNjx64lEAwDdWfCOgsc9VNVfhjGEDAOCtrPRzYk4lnEIh1q/ScqVIMdqN2NG5AwDZ6QvE0oKlWF64HE7eiVeaXolvsDMYs9OMh449BAC4ceWN0Cl1U465ouYKrC5eDavLij8f+HNKx2c9ehQAoFm5IuNb6drddjG2uLLmyoDHzM6ejY2zNgIgiy1ftJ6FjDXDdjilwGg3ip5R31n1HRjUhinHfHLeJ7E4fzHMTvOM8ZdyjYzA0UqeTYnaDHLzbjGt/TPzPxPwGIPagAvmXADAK45JjXbVKrH1u2soM4Sh7olucb7+0fofIVeTO+WYSyovwdKCpbC4LGKJabQwYUAi/tf8P4zYRlCqL8UlVZcEPe4T8z4BAKKJG4Wqx9ajRyG4WVuyULzVTlKczio7C8W6wOm9SrkSX1z8RQDAE7VPpE39ezKhLaBUlZVQ5OUl5JyvNr+KAcsAirXFoqg1GY7j8M0V3wQA7OrZlRY72Yr8fNHxOlNSNd9qewsCBKwpXoNZWbMCHiPjZLh20bUAgGfqn5kR93UyeL7heQxZh1CmL8NVNVcFPojnUdlJso3eym5PK4NNKdCtia08Z3v7djh4B2pya7AwL7iT9ecWfg4A8ELDC6w1Z4w8VfsURmwjmJM9B59a8KmAx8g4GX555i8h5+R4u/1tNIw0pGx8VlrqtmpVyq6ZLN7vfB8mhwkluhJsmLUh6HGfXkCykbY2bYWL93aIEGO+kychONOvP3w68dCxh2C0G1GTW4PPLAi8WJVxMvz0jJ8CIN4xqbyvpYJmiKrmzUtYzLerZxf6Lf3IVeeG7DZFxbA3Wt9Ii6xceXY21DXzAHgFyHTn33X/hs1tw7qSdfjE3E8EPIbjOHx/7fcBkKz0WPylmDAgAbzA46k64qh83eLrAu5gU9aVrEOBpgBGuxF7e/aK31fPnw9ZVhZ4sxn206eTPuZMRRAEsfZpS3Xo1o6fWfAZZCmz0GJswc6unakYnqRYPJNhopRjF+8SzcK+vPTLIdulLMhbgDnZc2B32/Fh91QXZimg5QTWDCkneKP1DQDAZdWXhTzuiporkKXMQpupDbu6d6ViaNMKi9OCx04+BgD45spvQikPPF/bm5oBswV2tQydRWQhMJOhqZrRmjv9r/l/AMiOXigX+i1VW2BQG9Bj7sFH3R/FPtAZisVpEbO7vrvmuyHjkAV5C8SuMql0cqcBu24aCAN0p/SKmisgl8mDHndBxQXI1+Rj0Dro16FAVVUFmcEAwWaD7dT0X8TGiot34bUWkmH7g7U/CJi1SFlbshYXzrkQvMCnzU52MqGfJ+2qlQk754unSdnXJ+Z9Amq5OuhxZ846EyW6EhjtxrR5NlLBkW6SpTOCIIjv23VLrgv5bDxz1pnYOGsjXLwrpqwBJgxIwEfdH6HF2IIsZdaUWtXJyGVysR3WtrZt4vc5uVy8qTPNMC2VNI41otXYCpVMhc2zN4c8NkuVhasXEpOryeY/0xG6M54oYeCttrfQOd6JXHVuUJWewnGcaAD5dtvbCbl+vGhj3OGUglZjK+qG6yDn5Li46uKQx+qVenxqPtkNnGlGS4ngrba3MGIbweys2WIGVyBo0GWbPxu8jMO7He+maITpiWb5CpKq2dMD58BARK/pHO/E4YHD4MCFFbw0Co2YvcFMCKNnb+9eWFwWzM6ajUsqg2ctUmj7wg86P0juwDy4RkfFVmLalYlbyEhBn7kPe3r2AACunHdlyGOVciU+Oe+TACCmaAMAJ5NBu8JTnpMBCxmpOD54HEa7ETmqHGwq2xT2eLrzuqNrR9oY4yULrzCwKiHn6zf3i+JVsDICilwmF+/rdBFhRGEgA7JEG8ca0T3RDbVcLZYbheKGFTcAAN7teDfqjDomDEgAdYu8esHVyFJlhT3+0upLAQDvd7zvl4KTaTucUrCtlYgpZ5efHdF7fd3i66CQKXCo/1DaGOMlA8HlEjtaJOoh8WrzqwCAzy/6fMBa1cnQYHRn905YXdaEjCEedB6fBVttLQSH9KluoXiz9U0AwMayjcjX5Ic9/tpF10LGybCrZxdajC3JHt60YlcPybL4xLxPhNxVpUFX4fqzAAAH+w7CaDcmfXzpijxLD/V8YsJoi7B7zv9aSLbAhlkbUKIvCXv8Zxd8FgCwq3sXOk2dYY5m+LKzm2TFnTv73JC7T5RzZp8DDhzqhutSYkIolrpVV0Oem5v06yWT15pfAy/wWFuyFhU5FWGPp0LuR90f+b3XdKc3U1KfpWBHF/EnObv87JDZApQzy86EUqZE53gn2kxtSR6ddAguF6wnTgBInNC2tWkr3IIba4rX+HV9CAYVBnb37MaAJTKxOJmIwkAGlOe830GyBc6cdWZE8fXq4tXIVmXDaDfi5PDJqK7FhIEUY7QbcaDvAIDgxkqTWV28GsW6Yow7x7G7x9vflu70WthDIiCCIGB7+3YAXnElHMW6YlxQQUxSqAHWdMTe2AjBYoEsK0uss4rrfG672DmDZgKEY0nBEpTpy2B1Waf0bZYCZWUl5AYDBIcDtob0TdUUBEEUBsLtqlJmZ88WM2ZeaHghWUObdrh4l7jTF273idZDl555Hmpya+ASXH6pwDMRGoBGspARBMGvjCASKnIqcFbZWRAg4IXT7L6OFEEQxPKLs8vPjug1hdpCrCwif89U3NeJ3t2UCkEQxB3SoP4kk6g2VGNtyVrwAu9nrplJqc9SQe/N82afF9HxeqUe60vX+712OmJvbIRgtXpivpq4z8cLPF5ufBkAwmaIUqoMVVhdvBq8wE8xVJcCVXU1ZDk5pDynIb1LsmkZAc3cCodCphBjlmhLo5kwkGL29+2HAAHzDPNQllUW0WtknEzcXfUtJ9AsWw5wHFw9vRGnas4kGkYb0G5qh1qujvghAXgXAHt794Y5MnOhvaG1K1eCkwevd4yUw/2HYXfbUaQtQk1uZA8djuPEMhkq4EgJx3HQiDsy6Rt41Y3Uoc3UBrVcLTr9RgJNg6cLXUZ4Tg6dhMlhQo4qB8sKlwU9bnLa84VziAnTTC8nEBcyEXyejg8dR8d4B7QKrfj+RQI1IXyt5bVpnwqcKJrGmtBn7oNarhYXRZGwuWIzgNT4DIitdDNcGDgycAQd4x3QKXTi8y4SaJnpK42viKnA2hUrvE7qw6xN52S6xrvQNNYEOSfHWeVnRfw66p9Bsw2mI6LQtmIFOFn8S789PXvQY+5Btio7qvuamhBubdoq+XzNyWRRiddS0W/uR+1wLThwOK8i8rXMOeWkdWS0HjxMGEgx1EAwlCttIHzLCWwuG4DYUjVnEtR08NzZ50aUekM5s+xMAKRWbcIxkZSxSU2id2P29JLF5sayjRGlpVJodsGOrh1p4VQrPiTSeEfmzRaSLbC5YjP0Sn3Er1tXsg4cODQbm2dU3+Z4oBlaZ846M2Ra6uS0Z7qw3dW9Ky3KZKRCTH0+eRKCyxXyWLqDdOGcC6Oar88qPwtquRpD1iG0Gmd2m8hIoWUEZ5SeAY1CE/Hr6G7V/t79MDvNSRkbAAhutxjTZLowQLMFtlRtieq+vrjyYmQrs9Fr7sWJIZICnolO6qmE7vivKl4VsEVhMM4tJ8LAkf4jMDlMSRmb1CTaePCdjncAkKzFaOaQLVVboFVo0WZqw7FB6eOsTBAGqGC1vGg5CrWFEb+OimO1w7UYtkYuJDJhIMXs69sHgASa0bCicAVm6WfB4rL4qT+ZsJCRAkEQRH+BUO0gA1GeVY6K7Aq4BbeYHj/dSLTxIN2F3lgW3hTFlxVFK1CsK4bZaU6Lnex0/zy5eXfUZQSUXE0uFuUvAkACe0Z4aBeHcOnWkz9Pi/IXoUxfBpvblhb3tVSoqqshy872pGoGL89x8k4xGy6UwWPAa8hVWFW0CgDJyGOEh6aWRlpGQKk2VGNO9hw4eadfWWOisTc2grdYINPrE1LqJhWCIIiL1cvnXh7VazUKjZjNcbD/oPf7K9M/q00qoi0joFTkVGCuYS5cgiup97WUWBK8GXSwj9yTZ5VFnpkBkNINmumYDt0JvFltRyUdRyiiLSOgFGoLsTh/MQBgX+++iF/HhIEU0jfRh3ZTO+ScHOtK10X1Wo7jsKWKtNvzLSfQZkDqsxTUjdSha6ILWoVWVIOjgQo307GcwDU0BGdnJ8Bx0K5cEff5hq3DODVyCkD0gpeMk6VVOUG6p2oeGTiCAesAslXZUQf1ANkhBNgCKhLGbGOiaU84wWvybgzHcWLwM5PLCSJ1Uq8frofRboRBbcCG0uiy6QCIz1Pq38MIzrhjHEcHjgIghoLRwHGcWE6QzO4E4udp5YqElLpJRcd4B4Ztw1DJVFhZHP1OLb2vfYUBXQYsZKTA4rSIz7Vo0q0pVEz4sHP6+Qy4RkfhbO8AkBjjwSHrENpMbeDAYU3JmqhfT+PEw/3Sd4DSrvTEfF1dcA2lXyal2WkWF/XRCgOAd46PRvBiwkAKOdBPgpalhUuRrcqO+vWXVpFygg+7PoTdbQfgs8NZWxs2VXMmsb2NLDKjLSOgTGdhgAYU6poayLOjvw8nQ9+jhXkLo0pzolw0h5QTvN/5PpxuaZ1h5dnZUM0j7rrWY+lXnkMzjs4pPwcquSrq19MSpmjU45nK3t694AUeNbk1KNWXBj3Oz+3ZZzeGCgM7unbAxc/cuZm+J7YQwsCRAeJ5srp4dcge78GggtfB/oOS162mO3t798IluFCVU4WK7PAO+ZOhwWky72sxAyfDywhoxuHyouUhe7wHY10JEQaO9B8R32s/J3UW84ns6d0DJ+9ERXYFqnOqo349XUDt7N4ZdXu3dIfGfKq5cyE3RF5iEQwqVC3IWxBVyQZlbQlpDX1y+KRYGi0VfuU5aZgpurtnN5y8E3Oy52CuIXznh8lQnwGWMZCm0N2MaHdVKUsKliBfkw+ry4r64XoA5IMuy8qCYLHA3tSUsLFmOvS9prsb0XJG6RngwKFprGna1WOLxoMJLiOIpGdwIFYXr0aBpgDjjnFRPJOSdC4noAso+mCNljUla6DgFOia6EL3RHcihzbtoG0Kw6VK2k+f9unw4TXeXFO8BnnqPBjtxmlbkhQJkWS10Z2jNcXR7z4BwLLCZdDINRixjaB5rDmmc8wUYi0joND6baPdKGYeJJrp0pGAfu5jva8X5C1AtjIbFpdFzMpTzZ1LynOsVthPp7eTeirxLSOIxueIsqp4FbJV2Rizj4meDtMF0cgzQW0KaRlBtJnPlNlZs1GsLYaLd6XFe53O5QS0TeHmis0x3dfLC5fDoDZg3Dke8WuYMJBC6IcpVmGA4zixlpI+kEmq5nIArJyAYnPZUD9ChJPVxbEtfnM1uVhcQGpzplvWQCL9BQRBEIUBatoYLXKZXBQV6MJXStJVGHDxLpwYJA/RVcWrYjqHXqkX3fWZz0BwBEEQW2iGc7cWazdXrvRze5bL5ClJu053aCmBo70drtHRKT8XBMEvYyAWVHKV+JlgZTLBEQRBNB6MtoyAopApxPK8ZNzXrtFRONrbASRuISMVVBigO//RIpfJxVRtGj9GWp4zk+AFXhQGaIeBaFHKlDi7jIhl061tYaKFNnpfry+JvKOJLxzHiZsbvmUyUiEKA57YOF1w8S582E3uxVjKCABPfD0ruk07JgykkBH7CDRyjdgLOBZo8HN08Kj4PU2aLmSkom64Di7ehUJtIcr0kbWEDIRYTtAzfYQBwemErbYWQGLcaVuMLRiwDkAtV8e8KwJA/EwcG5D+HtauXAWAdPoQ3OmTUtg42giLy4JsZXbELSEDccYsknZNyxIYU2kca8SAdQAauSZsDWWooIt6E6SD4CUVcoMBqrm0PGfq57vV1IpR+yjUcjWWFiyN+Tq+5QSMwJwaOYUh6xC0Cm3Mi1XAm4mXjPZuiU57loo+cx+6J7oh5+Qx+QtQ6N/J975O5x1OKagfrseQdQg6hS6u+/rciunXtlBwuwOWusXKqG0UTWMkOzkWfwEKfW1a+Az4luc4pS1n9eXk0EnReyfWzSAgehGYCQMpZm3J2phqgymiMDBwVKylTNcdTqmgosmqolUxpd5QfH0Gpkvdqq3hNAS7HTKDAaqqqrjPRw1N1hSviaplzWRo4HRi6AR4gY97XPGgrpkHmU4H3mKBvSl90pLp4nJF8QrIuNinbmrutr93/7S5rxMN7UawvnR92NrgUP3WVxSRnb2GkQbJaymlJNQz6kg/ua+XFy6HUq6M+RrUwf1A3wHJ55B0hXY02lC6Ia44hHqVtJnaYLQbEzI2SqjPUyZBFzyL8hdF1VZ2MjRd+3D/YbH2nYr6FiYMAPDe15vKNsU1h5xddjZknAynR0+jz9yXqOFJir2xkZS6JajDB80WqMmtQZ4mL+bz0IyBY4PH4OSlXYyrqqshy8nxdM9Jn/Ic2s5xTfGakO2SwxFtmS8TBlIMfaDGypKCJVDIFBi2DaNroguAN+hytLTAbZqePVijge46x5OZAZC0VpVMhX5LP9pMbQkYmfTYTnh6Qy9fHpdoQonXX4BSk1sDrUKLCecEWsZa4h5XPHByOTRiquZRScfiCy0fouVEsbKyeCXUcjUGrYNoNbG+74GgwkC4MgLX6CicHdTteWqHjzJ9GfI1+XAJLrFGeCYSqlf04QGygIq1jICytHAptAotxuxj4o4Wwx+6gIq1jIBiUBtQmVMJAAmvEU50v3WpoAuoWP1gKFRYGHeOo3GsEYC3PMfZ3hGwPGemcXyIxDWx1rxTcjW5WJi3kJxzMP3Mh2OBfp40K5YnpMMH9e+KJzMDAOblzkOOKgdWlxWnhqV9NvqX5xyVdCy+0LmVbjDESoG2QGxbGAlMGEgxsfoLUNRyNZYULAHgXSgo8vKgrJwDALAel97IQ0oEQfBmDMSRegOQPsKrS0iwOl18BqjTPvWliAeH2yGmN4Zr5xYOhUwh1r5TlVRK0jEL58hgfHXYFLVc7a3HZj4DU7C6rOJiNZzxoM2ToqmqroY8J2fKzzmOEx/q6XBfSwVd5NmOn5hSniMaD8aRlgqQGmH62WBtC6fi4l2oG64DEH9QD0CcrxMpDAhut/iZoiVdmYpoPBjnfa2QKcT5mvoM+JXnzPCsAUEQcHKItJVdXhh/XEPPQc+Z6SS6wweN+eIVYWScTPxspIM5r7c8J32e0/QepHNtPEQTozNhIIUYVAYszF8Y93nojqFvoKldQRcyR+M+fybTNdGFEdsIFDKFaB4YD9PNZ4DWmmmWx/8APTZ4DFaXFQWaAszPmx/3+USfgTRYQKWbMNBn7kOfuQ9yTp6Q4EcsJ2BGbVNoGGmAk3eiUFso7ooGgwqxoYQ2el+ng/uyVKjnzwen04E3m2Fv9pbnDFgG0DXRBRknizsTBvAvJ2D40zzWDJvbBp1ChypDVdzno/MQNURNBI6WFvAWCzidLiFpz1IxahtFs5Hc5/F471BC+wykxzNKKnrNvWLMl4j4mi7CTg5PE2HgWOI6EhjtRjSOkqyVeDNhAGBtMTnHoYE0EAZWUvE6PTJFhq3D6J7oBgcOywriFwY+v+jzER/LhIEUsrZkbVy1wRRfnwFKui1kpIK+J0sKlsTUN3gyVBjY37c/43vbusfH4Wghafo0bSoe6AJ+Xem6hNzX6SUMeJzUm5rTojyH+gsszF8InVIX9/moAeH+vv2sHnsStcPEnHNpwdKw5TZWT2mOZnnwzxNdQE2X1NRY4ORyaJfT7jlHxe/T+3pB3gJkqbLivg4VBg72H2T39SRotsCSgiUJma9XFJJ7/uTQyYR5lYhC29KlCUl7lgqacRRvHTaFCgOH+g+J97W4kDkxc+cVwCu4LshbkJCYjwoDtUO1mR/zmUxwtLUBSIwwcKj/EAQIqDZUo1BbGPf5qLhwuP+w5PO1ZhkxvnW0t8NtTKxvSizQbIG5hrkJeTZGcw4mDKSQ9bNia+0xGbqAahxrhNlpBuDzkDh2fEYbitFFZSJ2nwBgcf5isfY9030GbCdPAoIAZXk5FAUFcZ+PBprxOIn7QhdQLcYWmBzSLsYVBQVQVlQA8GZZSEm87dwms7RgKfRKPYx2IxpGGhJyzulC7ZBXGAiFIAiwRVCas6xwGThw6DX3YtAymLiBZhiieO2zI5Po+3pJwRLoFDq/nS0GIZFpqQARKZUyJUbto6LfUbyIQlsCSt2kRCwjSEC2AODvn9E8RjIRxDbVJ2sh8DNXBEtkGQFAFmJahRYWl2V6xHwAlLNnQ5EXv0AllhEkoBQJABYVLIJWoYXJYRLva6lQ5OVBOcdTkn1S+mwR6puRqPk6GjJOGHjwwQdRVVUFjUaDDRs2YP/+0KmwL7zwAhYtWgSNRoPly5fjjTfe8Pu5IAj49a9/jVmzZkGr1eKiiy5CY6N/QFFVVQWO4/z+/fGPf4x67LT3b7wU64pRpi8DL/CiWqpZuACcWg230QinpwfwTIQKA/EaD1LkMrlo2kEXwpmKuBsTwCQtFnx3oBJBgbYAFdlkMZ7I9NRYCWWYlmpE48E4fTMovnWrM3knOxCi4FUYWhhwdnXBPTYGTqmEetGioMfplXrU5JH2kvRhPxOhCxnbCW/QJfoLJGgBpZQpRV8YVibjj5gJE+a+jhSVXIVF+eS+T1Q9to0+o0Jk4GQC9L5ORLo1QO5rGtPQxZm6pgacWg3eZIJjBsd89N5L1AaFXCYXY5pML/+KpNQtGqjHRaKEAd/7Oi18BpbTZ5T0f3d6X8drPBgLGSUMPPfcc7jllltw22234fDhw1i5ciW2bNmCgYGBgMfv3r0b1157Lb72ta/hyJEjuPLKK3HllVfipI8a9Oc//xn33XcfHnroIezbtw96vR5btmyBzebfWuq3v/0tent7xX8333xz1OMv0Ma/S0uh7d3ogoFTqaBZSibGmdrCxuw04/QoaTWSqAUUANGrIPOFgfBpz5FitBvRPdENAAnxcqCkVTlBgIWMFFicFjSMkl391UWJ2VkFgCX5JPipH6lP2DkzHYvTghYjKbcJJ3jRz5N68WLIVKFbv9G063QQvKSC+prYGxvBWyyYcEx47+sEZQwA3qDVt9RupuNwO8T3OlELKMC7m5UIcZG32WA7TZ7fiVrISIHZaRbn1HiNB30RfQY8izNOqYRmCZmj0mEhIwVu3i0KXonKGAAg1nRnugGh11Mq/phv3DEuziHxGg/6Qj8jVEyTEjELR2ITd99NX5YxEIa//vWvuOGGG3D99ddjyZIleOihh6DT6fD4448HPP5vf/sbLr30Uvz4xz/G4sWLcccdd2DNmjV44IEHAJBsgXvvvRe//OUvccUVV2DFihV46qmn0NPTg61bt/qdKzs7G6WlpeI/vT72vrSJgKbKUwd+wFs3bpuhnQlODp0EL/CYpZ+FYl1xws5LMwYyeQElCAKsxz0mNAkIuqhIMjtrNnJUU93YY4UKA+mwi61ZRlM1E1dDGwvHh46DF3iU6ctQoi9J2HmpoJPJ93WiqR+phwABxbrisDWU3t3N8J8nqvrP5IwBZUkJFMXFAM/DVl+P44Pkvi7PKk/ofU0FnZncHnIyp0dPw8W7kKvOxeys2Qk7byId3G319YDLBXlhIRSzZsV9Pqk4NnBMvK9L9aUJOy9djNHyGwDQLCeLBqvE4rVUtBpbYXVZoVVoUW2oTth5lxVND2GAGuklIuY7MXgCvMCjIrsiofG1r3+G1GXQVECxnpC2JLvd1I5xxzjUcnVCjL2jJWOEAYfDgUOHDuGiiy4SvyeTyXDRRRdhz549AV+zZ88ev+MBYMuWLeLxra2t6Ovr8zvGYDBgw4YNU875xz/+EQUFBVi9ejXuuusuuFyuRP1qMSGmAQ8cF007xIdEGtTHSEGi+rxPhi6gTo2cktwgJVZc/f1wDw4Bcrm4yxAPiS4joIgLqMHjkr/XmiWLAbkc7qEhuHp7JRsHDQQTmQUDQEwDbhxthJN3JvTcmUo0vhl0NyaSoMt3AZXphlbxQLMGrMdPiAZtiSojoFAht2O8Q/Tgmen4+maEM9SMBnpf14/Uxz2HiG0Kly9P6BhTDW0rm6gyAsri/MXgwGHQOogh6xAAb8lFujippxq6q7q0YCnkssSZVdKMgYbRBjjcjoSdN5U4+/vhGhwkMd/i+LM6T40SoTXRMd/ywuVQyBQYsA6IWahSIcZ8g0Nw9fdLNg4qSC0pWAKlTJny62eMMDA0NAS3242SEv+dhZKSEvT19QV8TV9fX8jj6ddw5/zud7+LZ599Fu+//z6++c1v4ve//z1+8pOfBB2r3W6HyWTy+5doFuQtgFahxbhzHC1jHqd5mqpZXw/BkZmTWTyI/gLFifEXoMw1zIVarobZaUbneGdCz50qrB6TNPWCBZBptXGfL1nCgO993WpsTei5o0Wm0UC9YAEAaXdkqOCVyHRrgGR7ZCuz4eSd4hwy0/HtSBAKwemErZYcG0ma5lzDXOiVelhdVjSNNcU/0AxF6xGvbSdOeO/rksTe13maPJToyDOdGWsSaOu1RM/XlTmVyFZlw+62x232mOh6aKk4NUwWUIks2QAAnVIntk89PeJfcmGrr4fgnHnibqKNBynlWeXIU+fBxbsydg4RS91qaiDTxd/JiGZg0Q2FRKFRaDA/l+yKS5296BfzSSi20YxZKcoIgAwSBqTklltuwebNm7FixQp861vfwt133437778fdrs94PF/+MMfYDAYxH8VHnfzRKKQKcTJkJYTKCsqIDcYSNB6emY5MvMCn/COBBSFTIGFeaQ/bv1wZqZd05ZGiWhTCHgn8EQHmgqZQgyo0sJnYJlnIXNSmvIcN+8WHxKJFgY4jsOiAvKQz3T/jEQh7qyGMWizNzZCsNshy8mBqqoy7HnlMrm3HnsGlxOIGQMnTqBuhNxziQ7qAW/wKnWgmS5QwSvRgSbHceLfL17/jEhaf2YCtA57Yf7ChJ+b3td091Y5Zw5kBgMEh0P0Z5hJUMErUYaaFI7jxHNmqgGhLcFCGxVIaCycSOh9nQ4iTDoYEIrGg4XSzIUZIwwUFhZCLpejf1J6R39/P0pLA9dxlZaWhjyefo3mnACwYcMGuFwutHn6g07m1ltvhdFoFP91diZnl5nWY4sGhBwHjcQLGaloM7XB5DBBI9dgQf6ChJ8/0w0IrRG0VYsUk8MkZk4kWhgA0sxnQOIazvbxdkw4J6BVaFGTW5Pw89O0a1aPDUw4JtBuIu7e4Y0HPUHXsmXgZJE9RpkBoVdoc3Z2QhgzQcEpMNcwN+HXERdQ7L6GxWkRW4ElYwdKFAbiWEC5x8bgbO8AAGiXJXaRl0qMdiN6zaTsbEFe4uMQKjbQ+5rjOK94PcMMCO1uu5g5kQxxkZ6TimqZhtd4MP73xuqyiq0bE50xAHjvayqqSYnUBoR2t10U/ljGQBhUKhXWrl2Ld999V/wez/N49913sXHjxoCv2bhxo9/xAPD222+Lx1dXV6O0tNTvGJPJhH379gU9JwAcPXoUMpkMxcWBDTjUajVycnL8/iUDuoDynbi8C5mZ9ZCgwXayanLEloUjmScMCG43rGLac/wPCZo1UZ5VDoPaEPf5JkN9BtIiY4Aaep48KUmvaNplY37u/ITWUFLYzqoXajw4Sz8L+Zr8kMfG0m/d1z9jpiI3GKCqJBkW8/oEVOdWQyUP3dEhFuh8nQ47UFJDvXGKtcUJNQ2jJEIYoMKrqrIS8tzcRAxLEuh8XZ5VjmxVdsLPH2hnlc5BMy3maxhpgEtwIV+Tj1n6xJtV0kVZJmYMCDwPm8drLBFZok2jTeAFHvma/LCmvLFARbR0mK9pxpJUMV/DSANcPLmvy7PKU359IIOEAYCk9D/yyCN48sknUV9fjxtvvBFmsxnXX389AOBLX/oSbr31VvH4733ve9i2bRvuvvtunDp1CrfffjsOHjyIm266CQBRW7///e/jzjvvxKuvvooTJ07gS1/6EsrKynDllVcCIAaG9957L44dO4aWlhY8/fTT+MEPfoDrrrsOeXl5KX8PfKEqW5uxTTRI8abBzCwDQvpATmTrPF9EB/fhesmdU6PF3twMwWKBTKeDet68uM+XLH8BChW8mseaJTcPU9fUgNNowE9MwBEkQyiZ0B2RZDnT+jq4S232KDXRGA960zQjD7roAqrF2IJxx3gMI5weUHGypic5aamA99nYONYIp3vm1V77QjcOlhQmZ75eXkT+nq3G1pjva6/QltllBHQnP1n3NRUG2kxtsLqsAHxivhnWjcq3nVsyzCqpMNBmbMu4+drR1gZ+YgKcRgN1TfyZhnQHe1H+oqS813S+7jX3wmg3Jvz80aCumQdOpwNvNsPRmnqfK3pfLy+UzoQ1o4SBz33uc/jLX/6CX//611i1ahWOHj2Kbdu2ieaBHR0d6PVxD9+0aROeeeYZPPzww1i5ciVefPFFbN26FcuWedMzfvKTn+Dmm2/GN77xDaxfvx4TExPYtm0bNBoNALL7/+yzz+K8887D0qVL8bvf/Q4/+MEP8PDDD6f2lw9Aia4E2cpsuASXaNRGW6zZm5rAWyxSDi+lUGEgGel7ANmxVcgUMDlM6DH3JOUayYI6FmuWLQMnj3/XOdnCQIG2AMXaYggQ4ja0ihdOoRAdfaVI1aS/f7Lu66qcKmjkGlhdVjGNfqYSqb+Ae8IMexMxEIykVSGlQFuA8qxyCBAyvg1WPNBUzXm9QtLua7pj6+JdaDY2J+UamQK916jTeqKhO1sChJjTrqNp/ZnO0B3PZKRbA0ChthAFmgLwAo+mUTIH0fJRe3MzePPM6cIh3tdJSrf2va8zrYSUGudpliwBp1DEfT7RXyAJvhkAkKPKQZm+DIA3lpcKTi6H1tO5S4pyAl/BSyoyShgAgJtuugnt7e2w2+3Yt28fNmzYIP7sgw8+wBNPPOF3/NVXX42GhgbY7XacPHkSl112md/POY7Db3/7W/T19cFms+Gdd97BggXeYGXNmjXYu3cvxsbGYLVaUVdXh1tvvRVqtTqpv2ckcBwn7iTSD5OypNivV/RMgS6gqLtpolHKleK5Qz4kBAFwpVdHCLEeemWA3RiXA/jgj0DTOxGfTzQezE+OMAB4d8gbxwIIA50HgGeuAYZSIxokxGegYy9Q/1rUL0u24CWXyUVPjplej03LhMLd17baWkAQoCibBUVRUVTXoGKa1MFPwhjvAw7/C3BH3r6Xitc1vQIW5ibnvuY4LrjPwK6/AR/dk5TrJgW3E9j/CDDWEdPLk2U86ItvO85oEQQhqtaf6Yw4XyfB54gyxYCwuBiK0lIS89Vl1gIWY53AxGBML0224AV4s8fE+9o6CnzwJzLuNMZPaBtqAk69QWLTGBE7EuQlR/ACvJ+Z9CgnoJnXqS/7o2XRUhkPAhkoDDD8oQsG351V0fn5vReBd34DjGboTqAgAI7wCviwdRjDtmFw4DAvN/5U+WDQoD5oZwJTL/DohcDdC4Fx6XqgTsbqMaKkAbkfO+8GPvgD8NLXIxI0xh3jERu0xYMoDEzOGBAE4PVbgNNvAm/+NGnX90XsFR1rxoB9Avj3p4HnrgNOvBjxy8Yd42J2SrJKCQBvPbbffW0ZAZ6+GthxF1mYTHNMDlPE97XY4SMG9/Sg9zUAdB8CnroSOPpM1OeVBKeVjPfVm4ADj0T8MmF+JdwckGsG5jlzkza8gMJAx17g7V8D79wOdOxL2rUTyv6HgTd+BPzrKvKeR0E093U8UNFBFM0P/hN49CKgc3/Y17p6euAeHgYUCqgT0G9dKpy8U2xFmqxSAsDHqM1nAUUzLazbnoxrAZhSug4C968FHrkg6meMyWESzfBSKnht+znwwe+B176btGsmAq/x4DLg6c8Az14LHPtPTOdy825R8EpWJozvuRuGTgJPXA68+l3JNtmkMiA0O83oGCcCcDLn63AwYSDDETMGxrw7UGKv6PdeBD76K/DAOuDNn8WszKYMQQCOPw+89j3g0YuBP1QAvy8Djvw75MvornJFdgV0yvj7tQYjpAFhfx0JhLoPAdYR4FT0u8PJgLfbYfe0rqT3hchAPREGAKKEN24Pez4aZJfpy5CryU3kUP0IuoBq+wjo86i4ze+S9zvJiJ+n+noIjhgeVKe3AY4J8t//+wEwElndGv3dZ+lnJcXkkSIKA74GhMefI/fD+3eSwK0/A5yZuw8BL1wPPP1ZsmD952XA6z8CIjAQ8jXUDHdf08yRKZ+nCFjg2SH3y4ThebKL/dglQMv7wLt3ZEZw/85vgEHPPXP8uYhf1mLrRofHA097ujsJAyOIxpq+gtfOv3r/e/d9Sbt2QqEB/XATye6KArpQL88qR54meZ5INJuuaayJ3Ls7/gR0HQCe+DhwNPSCRFzELFwImVSZmDwPvHoz8PjHgJe/QT6Dh/9FnosR0mpshZN3IkuZlVTTsCmCl7ELGpD/tn74P+DkS0m7dsIwDwHPfwlw2wFjB3muR8GpYfL7Jvu+pmVltcO1wHAzcPxZ8oPm98hOfBrCOxywnyLvjzbfAYx64o23fw1Yx6I+X+d4J6wuKzRyDSpzwrfmjRUqpjX0HQbadgKHnwRe+ArgCtwWPpmIBoQNDeAjifma3wf+thL492eAPQ+S9UAMz3DaPaZIW5TU+DocTBjIcMSMgRGfjAHPzrB1EAA4wO0A9v0duG8VcOTp1A8yUjr3AS/fABx6AujaD1DDlzBBJzVoS1a6NcU3Y8DPgLDlA+DxLYCpC6AO26fDL7JTgb2hAXC5IM/Ph2KWj3MvzxNFlncCCuKnEYminGx/AQoNNBvHGv3f6z0Pkq9yTwD54d1JHQcAKCsrIcvJIb2iG2MoX6CBmlwF2E0kOyOCHZJklxFQFhV4A03xvfYtLek7Djy8mSyqJHDpjZh3bgdqXwYa3yIL7PZdZCe750jYl0ZlPOhxew6YgROGmjxiBNU81gw37yaZRf/+FAnaeE86/ngPEe3SmaZ3yTMFAMCR93g4slr+htEGNM8ipkrJbKsr7kCNNhBjzb4T5N7gPGHPqdcjHrNk9NeRccNjQrX7fqD7cMQvp74Zya5Xpfd1h6kD9u5DwLjH68ntALZ+y3N/uwO+lu7KRdPhI+H0HAYOPwV07Cbxxs6/kEyYN34c8SnoDv6CvAVJNQ2jGQOnRxrg/uCPwP3roHWROc42ogQa307atRMC7wZe/Cpg8hEF6/4b1SmosJrsZyM9f6+5F+Mf/A7wNeg98GhSrx0r9oYGCE4n5Lm5UPa95f2BeTBqYRHwlqwsyFuQlM5IFCoMNFn7IEZHDa+TTEunLWnXDYSyvAzy/HzA6RRFlpDsfxgYbQOa3gbe+jnw943A/WuIABYFNOMoGa2po4EJAxkO3VkdsA5gzDYGwNsH2DmhgLv6MuCLW4Gy1WTX8vUfpm9qcNtO8rVsDfDpx4BrPAvVzgMhVUP6kEhmujU9v5yTY8Q2gn6Lp1Sg6V2SJm43AZVnkfcaAFp3AA7pzR+t4iJmqX+wcvAxIr6osoHPeTIyTr9FUshDIDpcJ1kYmJs7F3JODqPdiAHLAPnmUBMpIQCAq58AwJEHR19yjdxIr2jymYq624d1zBuofe5pQGMAug8C7/8u7EtTJQzMz50PBafAmH0MfeY+kq5Md3C+uBVYcCkJ8N/9DXDkX0kdS8y4HGSeAICLfgNc9TAw+wzy/x27w7480vvaNToKZzcJaDVLo/8MzM6aDY1cA7vbji5jG/DEZUTEUGiBT9wHzLuQHBiF50fKsYwAW79N/nv9DcC888l/n3w5opc3jDSgySMMxOXbEYZqQzVUMhXMTjO6x7u9vgJLrgTmXwJAAPb+X9KunxBOPE++Lvo4sOzTgOAG/ntTxCm29NmYzBRggOxwGdQGuAU32uo9QuiCjwHn/Ij8966/EUE0wC6a2FZtWXLFi5DQ+a58HXDR7cCyz5D/b/kg4p2/ZBu0USqzK4lhrNuGjl13AS4rNCvWABzgNCvgqn0/vTOO3ruTxEdKHbDlD+R79a8FFY4CQXdWk72AMqgNYovP5sbXyTcv+BX5evRpUiaYZojGg0sXg6t/lXxz88/J1/0PR539l6r7ujy7HHqlHk4IaFMqgfN/SZ6LjduB/1yT0nia4zivt1S4cgLeTTYhAODMb5NnuFwNjLRELdLRLFEqtEoFEwYyHL1SL6at0SBAnpsLZS5xIrXy80ng9vX3yKLEZQX609QRu2Mv+bric8DyzwALPwboCsmYQ+ySpGoBpVFoMDd3LgCf9NQDj5GdvkWXA198BajcBBgqAJfNK3RIiO0keQj4BV3GLpIGDAAX3QbMvxgoWU6yB2pDB/f09062MKCWqzEnZw4An7RrGsQv+Biw6DJg6ZXk/3cmP2tAzMKJdofz1OvkfS1eAiy4BPjk/eT7H91L0s9CkKr7WiVXid4c9SP1QPtucv9mlwFzNwPXPkseeABJoUxHeo+ReUKbB2z6LrDyc8Diy8nP2veEfTkNfsK1O6WfJ1VVFeTZ0fcpl8vk4hzS2LGDpIersoBv7gDWfpl8FoH0FQYEgdTXTvQBhQuAi3/rXUSdfDGiBcnp0dM+GQPJ6xWtlCnFAKu+/QOg9hXyg3NuATbdTP77yNNhxVDJ4Hng+Avkv1d8FvjYnwFdATBQS0oEI4AuoOYZkue9A5BAmi7SGjs9i+wFW4ALf0VEfk5Oni1j/n5HAs8TM0/EloGTMGhgv+xTwNk/AK54kGR4mQdJgB8BDaPJ7UhAkcvk3r7vKhWw8SbIv7UNqmoyr9g6x4CBNDUhPPW699795P3AGTeQOdsy5P0bREAqd1bpNZqUcmDhx4GzbwHy55HNIFpakEbQzQttsQxwWoCC+cB5PwEWf5IIi6//KCrhSDQeTPJ9LeNkWKAlHeYasvPJPH3di4BST8TzD+9K6vUno13q2QyqDSOk9J0AbEayyXbxHcAXXyb3NUA236KA3tfJMlGPFCYMTAPoQ0J0uraZoM0hSqZtTEu+J5MB5WvJf3cdTPUQw8Pz3h2/OWeSrxwHVJ1F/rs9cA2am3eLwU+yMwaAAPXYNE1543cAhZqMef4l5HuntyV9POHwpj37CANv/pSUacw+A1j3NfK9ldeQr8eCl21YnBbRyCrcAioRiOUEo40keKembBu/Q77S3ajaV5LeoYCa0UTdK5qWESz9FPm65Apg7fUABGD7r4K+jBf4pLcq9EWsxx6pJ1kwAFBzIbmfOY5kDQBRpTGnFJoVMGcjmesAksFDfxZi8Wl320XDn3APZFttgM9TlIj3dY/H/K58DVDk2Y2p8QgDHXvScjcKTe+Q3T2ZAvjUI4BKRwQYuQoYPBV2QSIIpAVpZxEAtQr8xAQcbW1JGy6dr0/VPUfSgOdfApQuB6rOAWatJGLSgceSdv246NhNytPUBmD+FkBfCFzmCY4/vAsYDO3e7ebdaBkji9qULqA8nyXxObj8M+Q9B4Ceo36vcbS3gzebSb/1eXOTPsaA8G7vpgSdM5QaYNYq8t+d4U0qBUHw7qwm0XiQQndvT6mUwMLLAI4TPU+sI8qworNkvPtb8nXDjeS+kCtJNgwQcTmBIAhiq8Zkmk1TalTEw6BZqQQ2/4w8X+jCb/8jaZedIT6j4FkPrPo8eYZv+T3Zge/YHZUJcqoyBgBggZNkjTQUzQNkcqDqbOBjfyI/TPFGmyZSYYCOq3ITIPe0hqzwZCvSNU2EiMJACtYyoWDCwDRgcstCtO2EJp+k3luburwHzl5PvqbAsC1qBusBu5GogyU+QXfl2eRrEHOajvEO2N12aBVazM6anfRh0p3yuuE60qprvAcAB5T6OJTTRdTp7ZI+NHiLRey3rlnqeU8dZqLaA8An7vUuopZfTWpvu/YHrbttHmuGAAFF2iLka/KTPPpJBoSH/kmC+NIV5GEBAKXLSFAEIentx2inD3tTE3hLhClt5iGSigqQnSjKeZ5uCgO1QV3Guye6YXFZoJKpxMyJZEKFnlPDp7y71TUXeQ8oWwWAI0ZR6WhiSrMC5mz0fm/WSpKuah0FhoIvotqMbeAFHjmqHBRqC0Nexrc0J1amGGuWrfH+sGAekFtJSjfSIONoCnQeXnmt554AyUSji8AwAWePuQfjznHIFEpoltDynOT7DJzy7ObinB+SrxwHbPRkDez/R8prWCOCeussvYIsVAEiMM67gGSp1b0a8uWd451w8A5o5BqUZyfPDI8iGhCqlOQZbvC5Ztlq8nWS3wfNwNEsWpSQfusx0Xec7P6qDV4BA/BuUFDRIASD1kGM2kch42QpWawu0pUCAE6p1OLnUOPpvW4bVaZnZpd9witmnXOL9/tLriJfIywnGLAMYNw5DjknR7WhOgkD9aemm8xPjXllwCxPnLfq8yRWHTyVVvM0b7HA3kzEQA1/gsR0dNMntwI41zP/vXN7RLHpkHUIg9ZBcOCSv4stCFg0TETFBo3G+336Oew7GVVb3HihwoC9uRm8LcTzodXz968+x/s9WsY4UAvYxyO63qhtFENW4kkw1yCRSOqBCQPTgCktC5vfhzaf+Aj4BV3l68jXdMwY6PAE9rPXeVU3wLsI7NwfsK6S/s7zDPOSaoxCEQ1Sxpq8ux9FCwF1lveg6nOIMmvqkjSlz3bqFMDzUBQVQVnisQEfqAcgAPpioMRncZNdQgJOADgWOD2u2UgEA5oKnWy8C6jTwL6HyTc33kSCesq5nqyBY8+SdpFJQllSQnrW8zxs9REaw9X9l6TuzVpFFnyU7FJAX0R2MIPcH9RQc17uPChkyQ+YxY4bQyfIIpqTkzICisYAFHoCg540yxrgee/8UbnJ+325kswnACmPCIJvWmo407CApTlRImYM2IfJN2gmF0DubSrIpGM5QZ/neeI7ZoDUvwMkQyZEwCne14Z53lTNJPZeF4UBpQKYs8kbZAKkFClnNkkXp7X86YLTBtR6dlBXfM77fY7zfi7DlATSTLpqQzVkXPJDPVq20ahUeoUiSlBhIP4MnLhp86SwzzmT7FJS6L0SQcYATbeuzqmGRqEJc3T8LLSTWKhBqwVUegA+O5wjKjLfpZvY1X8SgABklQJZxd7vV59Lni8T/RGJMHS+rsyphIqaPSeL0TbUtJF08Galz3NYY/AuuPc/nNwxRIEY8xm0UGp5EtPllHkP2HgTebabugBTT9jz0fm6MqcyqR2/AACDDVg4SmK4Bvuw1wg5fx4pt3NZgaHTIU6QWBQlJZAXFABud3ADQrfLG1tU+QgDObMAwxwS40W4EUvv69lZs5P/XoeBCQPTACoMNI01EafrlvehyXcCMg6ugQE4+z3mbTSYG26Mqg1PSqA9pX13/ACgaBGpq3RaArqLi3XY+clPtwa8qWs9Ez2w0PohGvRQlFrysAMkLScIGHTRwL40QCC28lry9fizAVOvU2X4Q6Gt3VrGmuGa6CMBxdKr/A8qX0t2eQQ3MfVLIvR9tNVGuJChZmx00UThOO/OVF/g3dJU+QtQaJrggG0YozIZyS7S5vofROePdMs4GjwF2MZIdsCslf4/o6nBIYQBel+HE7xcg4Nw9fUBHAdNHP3WqeDVwblh5zB1kU2Fgca30y5N1Tt/rPD//oJLyQ7aWHvI+4PWYS/IWyAuZKzhUjXjYEHeAnACMKhQYGjtdf4/lCuBM79F/puWKaULjW+RDLqc2UTQ8IVm1IURBlKdllqTQ3Zve5QKTPjungE+wsBRv3vaWht/Bk7c0Np2WrZIqdhAvg6eCutDkeo4ZP5oDzhBwBAniLuMmsWLAY6DyyqHa8IekaCRUujcMWvS3KFQkdp9IKJyAnpfpyIzAz1HMM9JNtmG7GMYtfnEzbSc4NTrxLcpDRAzcAyeTMRVn/c/QKn1CvwRbFrRjgTJ9hcAADS8gRqnEzIAI3bv7jlkMu/zpvdY8sfhgeM40WA46DOq9xgpy9VMyjYCgApPhnaE5QTiBoXExoMAEwamBXOy50AtV8PqsqKrZz8w3ASZUgZ1NXlQizUy+gIgz5N6lW61wp0epXjOBv/vy2TeXcAAPgM0YyBVZh15mjzka/IhQEBbr+cD75sKTFmwhXyVsG1hwLRn6khbEkAYWHgZMVAZ6/D+PXwQF1ApSnMqzy6HVqGFQ3ChQ6kgO2WKADsE9HcZiKCtTBxEXHMGEDWeBpyTxQwg7YQBvVKPMj3ZWWhRKv3LCCiiMJBmcwd9n2evJ4s9X6jQ2LEn6CI7UsGLBgeqeXMh0+tjHm6hthAGhR48x6HFUOq/owMQUVGmJIvsCI3PUsJ4P2AeIOmpxZOEEZWOGIICIcsJ6H29MH+hGHTZ6+qTZkCo4xSodJHA/pQmwC4MzZKKse900jjuyWBYcbW33ItC547hZlIaFgTReDAVCygAhsFGFLtIqm+zPtf/h8WLiVO33Sje04LbDVsdyb6SrCMBz3tFQ1q2SNEXEuM2gGQshiCV/gIAoOs5hkqny+/aMr0eKhrzjaRhOQFd1E0WFQHivQMA9a+GbYmbUoO2/jroBAHlMo3ftQGQe7piA9kVTpP3WvQXyDGRxSoVXHwp9hhHR2BCTjNhUuEvgNPboBUEVHo8HaiIDMBbttZ7NPnj8MEb8wURUdo+JF8rz/LPNgK8wmKEAh31zZDaeBBgwsC0QC6Tiw//xtP/I98sXyu6/PotZGanYTmBqYcsRjmZ1wfBF5qiE8BnINULKMC7MG72pFlNyRgAvKmUXfslc70W056X+yiZ9GEwWd0ESHC/5JPkv+v/N+XHLUYS0KUq0JRxMnGSPK1SAcVBVGu6SEly2YZYw1kXgTBQuxWAAFScSWr7JkODo3DCQIp2oABgrqdes0WlAGoumHoAFcC6D6XXIipQGQFl9npilGfqJnNMAGiJTLj7Wvw8LY1vEcNxHOYrDQCAxsJq/9IYgJQlVXoEjXTqSU7v1YL5ZK6YDM2MqX05aK2w73ytnjsXnEYD3mJJngHhSDPmO4gw0OwyTf15QQ1JrbUbgfHklSJFhc1EWscC/mUElKxiUooEIaQY2mRMcU/sxrdQ43mvm0yt/j+TK30MCEnmn6O1FYLFAk6nExe0KWeglmQbqbKmZhsB3o2KAEK5L6lybgdAPls9R7DI4fC7NuCzkBlVEif3dKKPtNGbkjEAkM5Z6hzyGQzj5J5SwcsTU9R43PLptUVo7BfGCDRVWGnGQL6T+JEoA5S10BLS/vDxEhWdkn5fTwyK4tvCInJ/+N7XohHoJPPSZBO23I36C1SdM/VndC3TdSCs2AV4u2+lbL4OQVTCAM/zeP/99/Hb3/4WX/va13Dttdfiu9/9Lv75z3+is7MzWWNkRIDYmYDuYs+7wPuQ8L2pqc9AktOuo4LWlZUsA9QBWoCJ7uL7ALdT/LbFaUHXBEnhSqWLJ30gtQhWElQGSsvPrQCKlxI1WYJaYffEBBytJDij9wEEwSdjIEjqJq2rHPSvo7c4LeieIP3bk936yhfRWFOlBIqCpG/T7w+mJmPA3twC3hrYNFCEBmV0J2QyNMuh7+SUh4bFaUHnOJlPUyl4zZORDiYt2hxgVgCxq3QZ2cm2jkxpOyYZghDYeJCi0nmDtwDlBHa3XXyvwz2QE1kPPd+z29c0eWeVko4+AzSwDyQqAqR/syqL1AoHCJQtTgs6TEScWZC3AJxCAc1CshMVcXlOtAzUYZ5nsdpqbJ36c4UayPdkQCV5/oiYgXrS4jSnfGpmBkUsJwgsLLp4F9qMbQBSJ+SicTtqPGnXfjurlEk+A2KbwsWLwcmT7w8UEOovULHB39uIUkENCIPv+vl260nJzupAPeA0Y6GbCIqi6TTgTX0eUZIdevNQ8scTCW6nx98IgTMGFGrSnhoIWU7AC3xqU66pMOCJQ6bc17SbTBoIA7zZDEcL2bzR5jm9m4CTEYWB0BscDrdDvK+THoc0bgcgALNWYmHJKgBefwMAXtGu70REBpWJQoz5mprA2+3+P3Q7vWuXyaVTAHlOKrREeBwOMB/64NtpI2NKCaxWK+68805UVFTgsssuw5tvvomxsTHI5XI0NTXhtttuQ3V1NS677DLs3RvePISReERDqwnPrti888WHhH/GAFWxDqbPrh/9cPkaQ/lSvIT0unWa/RRDqrAVaYuQp8lL8iC90IyBJqWSjE2pDXygWE7wVopG5sVWR1JjFWWzoCgoIN8cayfuy3IV6UEeCPr9Se3/aFBdoClAriY3SaOeynzPe92oVHofwpOhwfNQo59wlGiUJcWQFxUSA8JgZjQUapITaBcKIDuVCg25p0f9FyxNY00QIKBQW5iS7g+UueYxAEBzTsHU9GWABG9UBEsXn4GxdtIZRKYInG0E+JQTTBUGfDsSFGgKgl5GEISE1kPXjJOA/bQsSJBD2xa2fRS0c0XKEf0FgggDCp95ZXhq+9DGsUbxvi7Qkvc6qvKcWBg4hbmexeqU3T4KzURKcilSxNAOGsHmaMD7OQwS3HeMd8DJO6FVaDFLPyvBAwyAqQfoO4EaBxG86LPZD1+fAXh3N7WS+gt4shAn+wtQaEzSfQhw2QMeQrv15Gvyw3Y1SQieTZ25OZUA/AUvcYfT6Cl1ol1xpGbwFOm0ojYAeVWBj6FzXohStZ6JHlhdVihlSszJTnK3HocFGCHv7bxZZJE9RRgoTB9hwFZfT2I+nQCFlveObTJUGBg6HdDQm9JuaodbcCNLmYUibVESRuxDwxvk64KPieU4fqUEhfOJh5DTHHaRnUgUpaWQ5+cDLhfsDZP+xt2HyXi0+WQTcDJypXfOC1NO0G/px7hzHApOgeocibKnfIhIGFiwYAGOHz+ORx55BCaTCXv27MFLL72Ef//733jjjTfQ0dGB5uZmnHPOObjmmmvwyCOPJHvcjEnQlOPTcpA68fK10CxaRMxoBgbgGvS0GCtdRhaG1pEpCxLJ6AwjDMhkPiZi3nIC0V8gxT0/xYwBlRIoD7CzSqHCgAQP54Bpz32eMoKihVNrsSk0GDV2+tWvRppunWjmy0m3h0a1mrRxC4RhNrnneWfQVouJQiwnCLXD6bQBo54d9cIg96Zc4a31ozuxHqQojwGAuX3kwdciCyEYppvPAM0WKFsdOL0d8PEomSoMRNqRwDUwAPfgECCXk3k1HiwjWDBKHKGbaGeCyRQvBrLLiBNzCOPElBJOGACCCotA4Drs5AsDdaIw0GJs8Tpd+5KijKOIoaJiMCEU8M84CoDY590wLyUdCWhmywLPbhe9vh80SO49SsRVqTsSCEJwfwFKQQ0xP3bbgxqf0WdjymqDPWWgc0vI+9lqbAUvkKwztccU1TXBw2WTpU85Qa9PtlGwebYouKhI8e20kfRuPYOnAAiArgDzS0gZXdNYk/8cUuR5Fhg7Qvp9pALRUyrP042iKEj8YKggZRu8M+R7TUtH5xrmhu3WExeC4C0TXnCJ15zXRMRNAKR+nz53Um5AGOQZRf0Fqs4KvJECABWetoVhymN8O20og8XmKSSiJ8b27dvx/PPP47LLLoNSGXjQlZWVuPXWW9HY2IgLLghQn8pIKnQR0alQwFJ1NiBX+pvR0HIChdqbytWVBrt+9nFvwFkRRBgAvG0LfXwGpFpA0cVxl0IBW6ggmf7MMpRyn4GAQRf1FygJMWZdPgmEAD9llk5cqe6vOt+TvtWtkMPsDrJzynE+u37J9RmIqMXaSDMAgZj/6EMo7UEMCCW5r+3jmNtHfqd+5zgmHBOBjxN9BtJEGKBZAIHKCChzzgTAkft5YsDvR5HWq9LPk7qmBjJtkAyhSOk5LNZi91sHYbQbpx7DcaTuFvB6KEiJw2enJqQw4EmDDCAM0PfaV8il2Re2urrkGBAO1KPS6YIMHEwOE4ZtAYQYMR04XYQBz3sXTFQEfEoJagNm/qXaeJAKFNXlG8GBw7BtGCO2Sc+8wgVk188xAaG/QWz7qonTsyNmBk8BlmGS7hvIJwggn0OxnCBwNizdsa8yVCVhkAHwZGvNrjwXSpkSNrcNvWbijyHPyoKqiozDNqoEmt9Pj8zQUP4ClHzPvWoZDhovpbQOm5Y+FC9Bde5cyDgZjHaj1y0fIIbeOk+WSApb6QWCblZo852kg5PGEPhAjvMxIAwex1BhoNqQ5B1syzBJtwcZV4muBDqFDi7BhU6TT4m6RD4DQTsTiP4C5wZ/MRUGwnQmSKcyAiBCYWBxFK2ZlEol5s1L7a4iA8jX5KMACggch+ZSn8Ar0EJGNCCMrI1GUuk6SOrwDXMAQ3nw40Sfgb2kdyikyxgoUOcjhxfAcxzaDSXBD1Tpya4fkHJ38YAdCUK1KvQlwK5fyxgZf6qNUfLGOlHoIunWAetWKaIBYX3wYxJARDucYmC/IPjuCOAjDPjv+kkiDAw3I4cXUOQmQSQNCqZAMwZ6j4qfQ0mhGQOBjAcp2jxvIDRpkR1p66uAn6dY6T6CLEHALE7lN4Yp0Hs6yVkwEdFfB9KDvMS/B/lkqIt7gJ0o3x0oinruXHAqFXizGc6OwOaQMeO0AqOt0AgCyj3p9HQe80OcO06lxyKKLjBClRIULiB+H3Yjye6aRKpbFVLRSFe0GLOzZ5MxTM4akCvETQn7wbch2Gxk86IqSCZYsqGbDBVnBO52QxENCAOnAwe6r5OGfVx8xikqNqDSU07ge197DQhVxHR1oj/54wqHmDEQQhhQZ3njpSBzXkpbJtNNhuIlUMvVYulCcJ8BiYUBMWPAGTxbgFISvjNB6xgRvMK18Y0bKjjnVgBKLTiOE8UIvziElmWmMGMACNKZwOXTDjSQvwBltkcYGKwHrGNBD0sn40EgCvPBV199NeC/HTt2oLc3Tdx8ZzgLPOWqp5XeFKuAalc6GRDSD9fkNoWTKVkGaHIBxwTQdwyCIEiWMcCNtWGeg+xkN8vDpFgVeBYcKayLchuNYpBNd7gB+GQMhBMGPMGkT91cpL3eE87gKcx3kjo4KgQFREwHTrIw4CklsDc1gbfZAh9EhYGCMEF5kM4EdAcqpe+15/6cy6kBhBAGCueTsg2nRfod1okB7wK0Isz8QV3+J6XlR9ppQyzNSUTas2fHb76OLFYDpl0D3h20kTQQBsIZD1J8RcVJi2x6X/vuQHFKJdSe0oygvaJjZeg0EZ21+Zjr2YkJeF/7dSboS+wYosVpA0bbyH8HqxEGyEKWLkgClBOkPGOA3qMFNWJwG8pnwHaICHSapUvBBUvDTTa0zSnNRgyG6FGyN6BwRE0eUzJf9xwBIAA5s4Hs0oALKHEhM55DvjEicckoz3ufcaEyBgBvxlGQFHff0q+kQ4UBzyKaXjO4MCDd89DPbDrfGXruALw+AyEyLFMmeInxkvdvGlAYEFsWHovI5T9R0Bja3tjoNSDsOQK4bCRbpChEaWFWkU+L+ODrrZS24IyAiGfkK6+8MuC/888/H7Nnz8YXvvAFWCyWZI6VEQpBQI1lHADQLHhNcgLWRM/27Pr1nQhqqJMyaHpeuMBeJvNODAOnMGgdhMlhgoyTJT/VaTI9RzDXY7LUPB7GnV0UBlIX3NPdbGVFBeS5uZ5vmrwBZ8TBPRFerC6rtyNBij0GMHBKbDcWUhhIUcaAaEbjdsN+OsgOgbjjF2aSL1kCgCPmeR736DHbmJiCm1ITGk9GyzwNSYsMuLMKkFo/+jnskbicgM4dxUtICUwoaEaBT8ZApB0JBEFIXD20IIjCQE0BuWcDLqAAr1v+cIv0O9mR+AsAnjFzxOTUp2zD7DSj30J2LifP116T3ASXAfmkAs+lvjCBhAG/zgTJnT/CMtJCxAy1IXRmBuBTTuAvDDjdTtFNPCULKJfd2wq0YF7wBRTgFQZOkZ9pliYgAydWaDlUMG8jyqyVgFxNSgInPcedbqc4h6Rkvqamr54Yji7afA0IRWFgxNPpQWphcbQVcIyT9zBUFgzgFdMDlCK5eXdqMxd95g/AG/tMMTGlC0MJDQhpRrDCoIRCw4f2JwH8S5EC4ObdaDO1AUiBMEA3zXyEgUD3NQoXEsNmx3hK/dEUs2ZBnpdHDAhpzOdrLh3OfyFMOYHvfZ3q7OdgRCwM8Dwf8N/o6CjefvttHD58GHfeeWcyx8oIxUQ/qu1EmGm1e+uzqDDg6u2Fa8Tz/bxqj6GOI2gf9ZQgCKKRTtiHM+BV3kZaxAmjIrsCark6SQMMQs8RzKOGVsEWUJT81GcM0J03v6CLKsPZZeEXUVRt9jycW42tECAgT52XUpd8uF3AcKNXGAi2gAK8wsBIC9l1SxIhzWgowz6lBKFQZ3sXJJ7PIX0Yl+pLoVMGMdNLBp6Ad252BQCvoVZAyqnPgMQeJXSHhtYehoJmZww1iYtsatplUBtCdiRw9fTAPToKKJVQL4yzHZmpGzAPAJwc88uJWBFU8MqrAsCRQMg8GN9144UuPsMJA0oNkOdJDffZ9aO7qvmafBjU/rWv2mQZEIqB/SIx0Aw6X6dL2zFfUTFcwFkaWBhoN7XDJbiQpcxCiS5EqVuiGG0jYoYqC8gqEYPbUAaE1q4xAAkqzYkFl8NbghFunlaovXPeJBMx6tyuV+pRrAsj5CQCGi95sj7F+9o3Y2AJeRY6jS647FzKyxinQLONSpYENz2m0MVhgHipc7wTDt4BjVyD8uwQZaeJwDICjHsyoT0Lf1r/PSUOETdSJBQGaEZbvidtONw9TeMlUzdgHZ3y4x5zD+xuO1QyFcqzkvxehxAG/IRcucIraHhanqaCgDEf/UzlRyCa0G5JQUqRuie6YXPbyH2d7Pc6QuLO4TIYDLjgggtwzz334OWXX07EmBixMNyMak9v7FbP4gLwmNFUkkBN3JHhOG85QVfw9JakYx4kQS+48BMZAOR7hIHRVjHQlKS1R89RURgIuYACvJNdClV7qh7TnTgAPoF9BDuedKd7uAng3alPS6WMtABuB+bxpDQmYB9ySlYJqSUX+KSbAFGxLWDqsyD4ewyEY5IBoZhuner72nN/zi0kD8CQgle6GBDSFNlIHs65cwBwpL2QZ5Et+gsY5oV0XaZt1dTzayBThahFjgQqppQswfxCch81jjUGdstXaoiDNCCtzwDv9u4shaoRpoi7ft7PYai0VDGrra4u8PsQK6IwsDhwoOlLijKOwhJJRwIKTQeeVErQZPSUBeUm2U2cQu/NgnkAx/llDEz5exbUQFBkwe7ZzU5IaU4sjHWQZ4VSR54d4aDv9aQFa6vJU/aVbOd2ipgx4BEGcr33NX2v5dnZ3phvRCW9MBCJvwDFN/aYhK8fTNI7bdB5wDAH0JCSDJrm3TzWHLgzwUiLZBm4YkZbtsfINtz8oTGQ3w0IaEBI45BKQyXkMnnCxhkQ3/nDQ3VutTgO2nEDgI/PwNHkjmkScQkDNBu6+3DAzD8qNM3NnZvc9/rwvyI+NGGfrkWLFqGrqytRp2NEy0gLqj07qz0TPbC5vLumIQ0IU6i8TYEG9obZRJUPB/0QjrSKD+SUOQFTeB7oOYq5nve6w9QBp9sZ/HjfUoIUpQOLwsASH2GABo8lEezQ5M4haX9ukiIqmTDgSeut8jwkhqxDGHeMBz6W41LWdkxMfQ7UmWC8l/hgcPLg/Zp9oULNJGEg5V4OnofzvDKS9tY90Q2rK0gXCGpA2F9LDN6kgqYT5kcgoijUQI5HjffMO1T8COsv4Pk7axPhnk7FlPK1qDZUQ87JMe4Yx6A1SEZAAZ3zJBQGRlqIp4RSF1kgRIP7IW9wH8hfgKKuqQGnVIIfH4ezc6qRXszQ4L7IKwzQErQpiOnAEvtmRFqGBHi7y4y0+LeWTaVBGzBlx68qpwoKToEJ54RYPiIik8GuWAyB5yDTqaGck+Re9MGgc0dedfjMDMA7l0+q16dzSErKGY3d5PnCycUsqaqcKnDgYLQb/bpAiM+oUaX0wkAkHQkovvHSpDrySI1iE8IkfwEAmJMzBwqZAmanGX1mHy+S7FJS+iPwKc0M9YUuWDV5Dk8ZUiRil+d3C+AzQO/rpJcR8G7v/emTMVCRXQEFp4DVZcWAxaeTkK/PQAqZ4tUWjTBQtBCkvM5IOjBMQuxIkOz5Ooq2xwkTBlpaWlBWVpao0zGiZaQZ+TyPHE4BAYJYYwgEcVKngUcKa3WmID6cqyI7PkApQcr9BYabAMc4SjgV9Eo93ILb772eQl4VwMnIYnFSq7Rk4B4fh7Od1Hv6CQORGg8CpI6cTtJDjWJWRKpbFWKABOnZRUtQpCVt/2imSEDEXb/UtCy0NzaBdzj8f0izBfKrQztdUyYZEEqSMWAZAawkqMwvXYVcdS4ECMHfa8Ns0oZRcIdsd5R0RqIQBnyP88w7kQaaATNwYoUKsWVroJJ70zSDvteiAaGEwb2YCryUzA3hEHf9vCm3oeZrTqUSSzQSVk5gHye9xQGgeDGyVFliqnfAbBhfYUBKP4dIOhJQsoo8CwDBL9MhZYEmhS6GPPeqUq4UBXtqEOyLzUYWLZqyrNTssgdCDOwjnDtojEJ9ejykrKUb4E1VL6gBVKTMTKPQoCyrzG8sgG9nAqX0HiVixsDK8MfmVgJyFdmUmNRtI6UGbWJHAm9HNqVMiaqcKgCTygk4TtJSJPf4OBztJAbV5DtIR4JIPld0kyhAZ4KUGQ8au8jfWq72ZseBvNcVOeT//eZr384EKbyn/WI+uz26bEWFGsjxrI0nzR9ACg01qQ9MBCREGDh69Ch+9KMf4eMf/3giTseIheFmcACq1aRWlu6oA77mTj5BV5AHXUoZiVIYoA9x2xhaPbsiKRcG+skCjitdhnkGjxlNqHIChc+ElwI1mfaGVpTNgiIvj3yT570LuHA1wpRCbzpwpDurCYcagRUvEgNN3/t6CqkyICwrg9xgAJxO2BsmBb7RBPaA9+8xdBpwWsXfL6X3NQ2Ss2cBKr0YDAS9rznOKxxJJSw6LMCEZ9cmL8rg3jPvRJIJIwiCdzcmira9QaFznmchSv/ObT7lX35IYF46hUiNBykBSgnETJgggWZEbUCjgQboWaWip0pAQytK4Xwi4Nok7EzA8z5lSBF6WYjlBF6voJTurAIBd/xCvde2UVIapslzTPlZyohWVKRzzKR4Kdx9nVDotSeNObQBodLjUTKU/PEFYrzP46kiiyxbUSb3MV31r+VPaeYijZeK/cVg33ICP2h7QAmEAVoirMzXQ6EWIp876O8WQNxPmTBA/8b5c6eIzgHLv4oWE+HIZkzp2kVRVkaMvJ1O2I/tIxt94Lx+OuEIsd5KmcljMoSBvLw85OfnT/mnVquxdu1aFBcX4ze/+U1M453J2JxufPnx/bj3nTjroj0PumpPr9VWYyu2nezF3dsboFrkMaPp7oZ7bIwcn+u5oSf6SZAdBXaXG3tbhuHm41TsokkFBgCVHsgqgYXj0EsdrlNdiy0+nOd56/vCGRCm0GcgYBnBaCuprVZovDuQ4fAsbG2DdaLrshQdCQAARYvFv3NIn4EUCQMhDQgDtN4JSfYsYgQquOHoO46ucVKOFY0wEHddNl10eu4N+nd+tfYoGvuDlG7Q+WMsTFeOAPz+jXr87KXj4OOZP+jnUGMQF37PH+jEWX98L/iY873Bvc1lQ9cEea9DKfWugQG4R0bg5mR42aiNfbwA4HYCJk+5nSegGDUSI76g93WMLQsHxm3YXtuXmJr9aIUBKoqNdQBOG1y8C+2e7i3B7mtfn4GEIO74eVtJzUv3zgSmblKyIVNGHnBOchd3uB0RddpIKAHMw6iQG0jwsnWQ7CRNljHZIwtONKnAgPfvYR0hixIAvMCLv19KhFw653kWGXaXG8/s68AsHRmbvwEh+Tw5zQq4ozQgdLp5/OC5o3jgvRBmv5FCswUK5gMqHe74Xx3Ou+t9DE+EqMUXDQi9c56Ld4nvdaD7elfTEFb+Zju2nUyAqCd4M3AcBYvwzX8dxIPv+4ttU1sWRl+KdKh9BM8d6Ih7jhZjvlJPOW7RgsierXTuGKjzK9sQBCF1mTAB/AUo9Np+z0aFyitopNA43S/mO+hpc2qoiKwEGvARBvyf84Lgze6uzIlwzo8FmxGwTTWZDEbEwsC9996Le+65Z8q/Z599FidOnMC2bduQk5MT05hnMntahrHj9CD+74NmON0x9uYUBHHiry4gE1SbsQ0/f+Uk7n+vCXsGHFBWkF1rMfDS5pFaJCAqJQkAHvuoFdc8vBcPfxhneqv4oCMTgN3lxveePYJn9oUYT141OpRkxyFPnYdcTW5ElxIEAXaXO47Behj1LITyKiPLGAB8dv1SkDEQ0F/AM4EWLybOrpHgCe7bhk9BgBDWuT3huJ3e96t4kXdnNVQpAfUYGGsH7BNJHV5A3w4gaMZAbY8Ru5sD7NpwnLjg6uzcBbfgRpYyC4XawojG8a89bVj4y2042DYS/uBgiD3ISZBMlesP207iF1unphkCiDnjqN9kw8MftuDZA51oGTKHf0EwaKDrky3w733t6B6z4tVjPYFfI+76taLN1BZRRwK6G9ORXYzHDwQ5b6QYO0kdqkIDZJVgaMKO/afJ57F+KMgcIs4d0aUD/+bVOnzjX4eCvxfRIAoDK9A5YsGWez7Ey4dD+AllFQPqHPK7jrSga7wLLt4FrUKLUn1pwJfQz5PlZG1ixAwqKvrs+ImZMJN3+yhStx2jc0f+3PDu7RQq1njSgVuNrXALbmSrssXyq6Rin/C6txd4F9k05XryfC24XLC1EuFCox2UzqMkwPxxqs+E9uEgc5I6m5RPAeKc12fug9VlhUKmQEV2ReDXAbjrrVM458/vYcAUZ7ecScLAwzta8PNXTuB0Fykr8N2gkOfkiP4NxGcgcmHxQOsIXjnSjXvfaYTDFWe/eB9/ATcv4Nn9HWgftuDDxhBdVnzKGCk9Ez1w8S5o5BqU6KfWz798uBtGqxMvHkqAR4mph9SDc3IcnCjAW7X9+Ns7jbA53cEzvOjcEYXx8fefO4qfvnQCe1vieHbDJ+YzkM/SgYlCzP/lm3jjRG/oFxbMI7vvjglv2RWAYdswxh3j4MBNWay+3zCAtnie25MJICpSghrGitmKbYkbRwSIMd9Jz/Mw0g1NIGi8NGAZIHMIp0hup40o36uIhYEvf/nLAf9dddVVWOJZhIyMxHeDz0Qa+sjulsPF41RvkJ2ucIz3kR1hTobqEtIOqHG0BSNmkqq3r3V46kKG80mDifKmOdw+BgB4/UScQeekdL7dzcP479Ee/PZ/tTDbXYFfkz8XrUoSNEVjPPiVfx7AOX96H/3xPpzpDmlupZgxUDcUxFWcEkABTxYBhYFo/AUonlKC5glPtkAY5/aEM9IC8E7SAstQ4S0lCJUxoC8A9J6WUTG0DrI63PjDm/XYGSpo8RCwPAfwPuh8hAGTzYnP/WMvvvTY/sDBoefv0tJ/FABRyiN5rwVBwCM7W+Fw83i7vj/s8UERVXtyn9L7WqYewKleU+B7W5w7ossYONzuVa2D7uxHwqRsI9/5s743gLmcz7EYaY24IwH9PDUbytEyZMa4LYTRaNgxt5GvuZUAx6GxfwK8nSw2moNlHeVWkjRcp5lkd0XIiW6yq7m9Lo77AgAmBj3X5YDixXj9RC8a+sdx9/bTwec831KT4UbxM1uVUxXUTVyomguXTA7BZIKxJfoslCn41Ah3jVrwv+M9qPJkHaVtZwKxjCCKGmqxTrgWEITUu+TTBaeugGw2eAi2gHK0tkKw2SFTCFBlu6PelBi3OfF/HzShYzi6LEc/eLf3Oe7JGGgbMuOT9+/CNQ/vDX5fTwruRef27EooZIEFd7PdhUd3tqJzxIqdjXGm808SBt5rIJ5Fw6O5AKbe16Jh2mh0nQkOtJE52sULwYWSSKHPw6JFaBmcgNlBNmdCxro+cweF3kdzcuYEnENO9ZE5/3hXArJQ6NxROB8NQySGdrh5nOw2igvlNmOb/30itixsJG2Ww2C2u9A5QhbyO07H14pWjPk0ZK5/qz8Hbl7A4x+FKfOTK73eCP3eOIYKTOVZ5dAoNOL363pMuP6fB/CFR/fBFesm5mQ898dJexEefL/JLws5qDCQ6zEsjSFbMR7ENVSj/9wREeLc4T9mel/Pzp4NpSxCMTgWkiUMhGL79u347Gc/i/Ly9OjBmElQYQAAjnp6+0YNnfRz56Da00O43dQGgHx497eOTHXVBGLe9WsdIruxJ7tNGBiPcaFtnyC1Z4Co2rd7lEibk8fbwQLa/GpRGIg0zcnp5rGzcRAD43Y8vivOmmjx4VwpppV1jLfj7rdDpJDRdOAohYGGvvGoFiK8xQJHC/n9/IQBGujGIgwIJOUv9WUE1FF8IcBx4t+6fbwd+1sH8N3/HEHnSIDgkKYOxxDc/31HM/6xowW/ez38a+lDwn76NARqQOgw+/TG9gb3/z3SjQm7Cy5eQNNAgEwGzwOmdaIbQOT39am+cXR43oO4VPwR/1IC+kCWqYZhstkwbA5QCxxjKcFBH2HgdH8cWR2TzH9O94/D4QlW6oMFnXR30DyAlmHyeY3UeLApdzYEwbvgjgkx26iKnHNgHLyDCANjzgG/TjIiClXULQvtLje6Rsl98VHjUHwlX1SAMcwGVHpxodA9ZsXhjrHgr/MJlCPpINNmcqI1m2QTfPj6ztjHS/HpSPDLrSdx0zNH8FE9CXd6JnoCd9yIMmPA6nDjqT1tgeehWKBiZiStCimFC0jpgd0EGDvFHXq6Y590JomKlJExko04uZMM9cBRFyuJP1qUwuLtr9bhz9sacE88pZembsDtIO+bYTYA4F972+Fw8+g12jA0EcT7YJJHSSTp1u83DMDu2XWPe5HtIwwYLU4c6xwDAPQMZgMA+i39MDu919D6+gxEIQwcbPdu8DUGel5FAxV+8qr8Fu11wcRbwMe81DvfhbqvnW4ejZ5nycC4Pf7NHx9R0ff3P9g+isqcSnDgYHKYMGr3Sc02VJCuLbwzIt+dVp/n9UdNsQsDvNkMR6sn5jNYALkah00Gcbx9xjDvRTEVFr2Zj6K/wKTOSFR86R6z4p36BBlpe4SBuw+5cddbDXj2gFcopJ+rEdsIjHaf5y7dlIhAVKzrMeH7zx4Rxx4PojDQMwrejRiFgTa/b6ekjCDAdcMRszDQ3t6O2267DVVVVbj66qshk8nw1FNPxXq6GcspH2GATvRRIwb2c1GeXQ4Fp4CDt4FTmDznNUK+gAQ9fqnPMWQMuNy8uBgBgB0NMU5qYo1wLqDNBQC0+5z3v0e7A78ufy5aPaUEkfoL9IxZQWPjZ/Z2xL7rx7uJiyoA5FVhln4WZIIKHOfGQ7v242SwRQNNBx5pmdKCJxh1PSZsufdDXHLPh6jriWxSszU0ADwPeVEhlMXF3h9M2h3heQFGa5j3QKUHDBVo9ogw0QoDJpsTD+1oxl/fDrGzGIpBr78AAMzSz4JaroaLd+Fr/34brx7rwXMHAqQN0tThKIWBAZMNj3hKY9qHLWHHrJw9GzKDAYLTCXuTZ1eE7o7oCsS6d0EQ8LRPaUxHoEWEZ5Hd6iABWaTCgG89ZXusO2iCMKXOb8Ksh+BWg+N4yFTDaA4UHNIH3VhnRDsklEO+wsBAAjIGPIt9389e95gVY5YAwb02V9zVbBsm90e491oUBgxE9I5rR2rSjl/jwAQEtx6CWwNM6iTjhzh/RCYMdAxbxPnOaHXiWKyCM+ANvjy7NL732f+Oh8gYK/SmA0fS0q1z1IKmXLJIa9l1KD7/CcuI15iyaKG4aHjk/QHkqAzBO26IwkB9RGUbLx3uwq//W4ur/m+3n8AfM2LGwAKc7Dbio8ah8OVvcqXPDlqHeA9Fkk03Ynbg2f0d2NM8tYVWxEzyJwGIGPX1J06Cd5EFq+97TUtzNLM92QVRCItHOkbxkqeEJb4yJDp3VAIyOSwOF54/6H2WdI4GmUsnGRBG0hnJN527LZ4sB+uo6G2A3ErsaRkSP+NjE0rkU9NpXwNC6tsRhTDgcvN+WV2n48nqArzCT+4cP1E1qHgLeM1LjZ2i/1WoBVTLoFkUhYEEZA2IxoNL/bLaDraNQKPQYJZ+FoBJZTIymVcMjUBYbB70PlNPdptCey6EwNbQAAgCFPkGKDQ8UFCD1hGvGPBWbRjPBZpxNOCTMRDEeNA3dvnX3raYxuuH00riBwDHrUQgv3v7aZg88blOqUOJjpSN+GWK0vkuAlHxn7tasfVoD657dJ+fGBMLynKP6bRbgN2oxGtdWjy6syVwrDEZGi8ZuwCX93iaMRBMGBiasOO9U/3hBZ5wjIQXq3yJShhwOBx49tlncdFFF2HRokU4fPgwurq68NFHH+HZZ5/F1VdfHdXFZzpON+8XdMcuDFAjnXl+bT5karJod7h5NHh6eDvbO+Ae90x2YnAf+cO5e8wKp9sbNH0QaxpUAONB36Dzw8ahwJNlXvQZAzRlCwDG7S48uz/GOjRTN8C7yE5D9izIOBnkbk/NrKoPP37xeGCfCEMFeY3b7jUfC0NtD3m49RptuPqh3Xj/VHiFNmAZAQCM+gf3n/3HHqz8zXZs+P07+PLj+/HHN08FTusunB/1e220OHHvO6dx9h/fwx/fPIX73m1EQyzBBV3YezIAZJwM5Vlk/BaOBFvdYyF2/aIUBu55pxFWJwnCrU63WIYTDI7joFlCRAsxC8cnsKcc7RzzE/8CCwMew1CeTP6RCl6+D/22YXNsiynzENltBCcGvrubh8E7iLAkU/cHDsKzZ5H6RMFNPhcRYHO6xfsaiLOUYFIZ0uSd/OBZA1UAgDYT+UyEUupdIyNw9ZH3uMVA2g3FPEcDftlGADzZIxx4O3mvj/cH8SCJMuNo8t8rZvEW8C9/gP8c/caJ3uD3HA3uhxv90tuD0TliQVMueUYV9rbig9Nx7EhRUdEwB05lFnqNZJ6wOnkInvs6YDlBQU1UnQlaBsn7PDRhxzUP7wkuDEeKpz7ZpK/Gp/++G9c9tg+rf/s2vvHUQTx3oANWRxCRwEcYoIuVYHOIy83j3fp+3PjvQ9jw+3fws5dP4GtPHoi9llysESb36IG2Edzw1EE4XLxYJuNbTiA+o2o8WTARbkrwvIDbX/UuXrqDLd4jYZLx4NYjPRi3ecXNoBkgkwzEgu2sUiwOF97zeW63xZMxQN8nfTGg0uHDSWUJxdoKvzEBkwwIeyLzKDnVNy6m+wNxZgy4HN5nQ26ln0A5NGHH4HiQxbAun2wYAaIYGkrwmlw6diIeIRQQMwaE4kV+WW0H20fB80JwY02xZWF4A0I6d1B2xSjOiUJbRS4AwJFXg1GLd9MnIp8BwG+RHYkwsKtpOHD2YzSMtAIQ4FblYBjEn27E7MD973pLSAKWE4jZih1h7+muUTL3D004cN2j++JaYPsZEI4ocf9RN+58vR4bfv8ufvzCMRwPdd/pi0hGCQS/NpyBBK+T3Ubc/motLrlnB9bd+Q6++sRBfPvpQzGPG0DyMgZuvvlmlJWV4W9/+xuuuuoqdHV14bXXXgPHcZDLI+htzJhC2xBROlVy8mdoGpyIbTd70o4fDQpkqgGoFOTc+4bdUJaR4JZOJrGUElDVTe05787Tg7HVG00yHgS8qXYqhQxuXgg4qfF5lWinGQO6wEZWk6E7APS9eHxXa2xGj2KQXAHI5BAEAQ6P0qnUDKK+14SHPggQvMsVXgEkwuC+1zOBKWQczA43vvbkATy5uy3kawIKA9YxYqTjGbfN6RbTuftNduw4PYiHdjTj+88dnXI+V0ENOqPIznjvVD/O/tN7uPedRph8Aq2ukRgMpsSMAbLQtzrc6B8iDw+lhix0ukcDnJdmDEThDtw0MC7uGNF7pCvQuSch7shMFgZ80mqpkSb9vLQHFAYqIABo9RwTiQjTNmTGqb5xKGQc5DIONiePgWCBVijoLrRhNqAk9YS7mobExapMPRA4Y0Am86a4Rygsnug2wukWoFGS37N1yBzb59Dt9ElR9RcG6LmDpqrmVYMH0GEj91Co+9pWR8Slrqwi8Fpi8BXXbhR9n3wyBgAALjKH7OsMImZFmTFAg076XoQ0+gqHT8aA3eVGj2eRrVHK0G+y+5WG+OERx4Shxoh2VokwQDIGasa68PjOOEq+fDoS9Blt4AUyjypkHIZHyU51QGFAqfHpTBB+/ugZ874XoxYnPv/IXhzpiNz52Q/rmOgh0cKViennFocb2+v68dOXTuA3rwVp5ZhLPofCaHvYHaifvHQcX3vyIN482ScK/BaHO/b0a9G4tAbHu8bw1X8egNXphlohE8tk6N9f4HmxlEBs/Rnh3PHS4S4c6zJCqySx5tCEI7hQEnbMXuNBQRDw1J42ABDPHdS/IIjHQLD7+oOGQdicvN98F7Oxpk+2kSAI+NCzIUPHrOeIqOZnQJibC6WnvNfWbyWZNGGgGV06FTlvXOKtqQuAACi0cGoLxcxHeu6g6d0c51NOQISnUPd1fZ//eY/FM0cLgnjNUd08GK1OcBx5fo9ZnGgZmghqrOkVBsJnDFDxVu8Z884YN9jEz1Mh5xkzuRfpe7G/bSS4AAP4PMO9WY2tY4HvaxrH0TH/e2+cNf6e93lCXwmAE8/7xO42cZ1BRTe/jAHDbAAc4LIC5tDvG31eZakV6B6z4ouP7cNomE2fUGgWkvHYRpXoEIqhkHGwu3i8cKgLn3xgV3BTXo4L2JlAFLw895QgCPjKPw/gid1tfqJUfe94fKa8yRIG/v73v+Ob3/wmtm/fju985zsoKEihQ/k0he4kLi3PQXmultSwxjKpTVLA6QdaphrEx5eTtKf9bQEMCH1T4yK86egH9rwFRcjVKWGyuXAkll20STt+PC+g07MYu3Y9maz+e3Rqqmofb4dNJoNCEFDmiOwDTncArlpVjqJsNXqNNrwWi1v3pBphk9UFh5V8DlbPIwvh+95rDJx+J+76RdaZgAadN26eh8+tqwAvALe9WhsyfZcuZPyEATrh6woBlV5UTLVKOV66cRN+cil5mAUKWnoNJXBxHNTgAjoBT+a5A50Yt7tQU5yFBz6/GhctJq+hk3PE+HYkKFoEnhfw/eeOYGQsFwCwYQEJmgNmDNBFlKkbcEW2UP7Ttga4eQGXLCnBinJSnxc0ndQHsYbT875P7khgtDrxmufv9ZVNVeS8gYQBpfb/2fvTYFuyqzwU/TJXrr7dfd+ctk71UklICJDAqALJAq4kCJCEbPkJDM9gMISw/QKHTWMTF10HYISxAyOQbRkI2mcZ0xSmeRYIyeqb6s6p0+2+XXvv1bfZvB+zyZmZMzNnrpKuI27ViKgQnLPO3HPPlTnmGN/4xjdwUllAT9eR0vRIhWtmjC3w1ZdnsDpFxuhNRJXjVGDiOyzbwcfvnsFiwEDmJJy2GyKoE2afoaJW33B9HsVMCmPLmUwboblLmAqpLFBe8ggPvuUR4u+iBAiPjBSGjgVDN7BUWgr9MWIbwZsfWYSmkWeuPiHtU6y+N3tjHrA9QH3D82GgIR9ZqJYsMw2Yt72CJAVf3G2o0R1lxsGMDeye9+E4JMj6lscIyBzqj6YvA9BwZnbQHrWha3okO2PnvIf7lSXYegrVUQ8vPB3iR1WMndPMNQ7wrU0X8Pdff5kDXrfDQJYEY8eYX/s/3/4oXr0xhdbAxN/9tU9NpjnAQMXyMva7BIx91cYU/vCHvg7veDXxB6HMK8oYOLu4h864A13TsV5Zl37003R6yXe+ehV/8sOvx+YMAbwOZL5UxaifPkyt4D0f+hTaQxOvvTSN/8+bb8AekckqLKkb7+7C7nSgZbPIPvQ4+fcKvqM9GOP/eookWz/y5DWUc+R89hsTsgY4W/EyPr11gZtHbeTTKbz7teTMpKwuwAX3G7to9Oo4H9DWrxBw8Y9oYeOdX7VOfw8Tjd6EbYwCMLB91sPeRR/plIZvfoz4L21M7tqAAOEjRFdItZ2APR//x+Pk/Z4YvAU8bQS3T7oYmjbKWQNff50ARqE+GnAZR/U76I17OKbjqWUaA4wd9i30LJ7eb06eRPXOyMhQALcGJBbYmC7gles1AESYkQsht3z+mE8mUAAGaCvBt7+KgKEfu1OfaM+8GFQmZ7BrEF/xyHIVj6/V4Dgx7QSMbdSrA6Me2qM2TvqE5eJnwrD34v/99eQ++v3P7qE3Um8jDBj1HadZsodveGAeX399DmPL4TpPl2SCsUYWqJDnM0pnwLYdHDZIvPtrf+/VWKzkcPukg/f+p09PLJ6YW60BALqNPAbI4l2vWcfvf//X4DWXSOvop6OmQzGmA32Xx9aYj6dmz1R7aPL44pe+65X4xI99IwDCYo1t/w0zy/SwFFRMGRj4L//lv+BTn/oUlpaW8I53vAN/+Id/CMv6Mox/ewkb60u8sVjGKygVKLEAoTCqkAWQS0XyounZU3wXvew+u32B9IO+Cmd1DYBGHGEM8saMJR9X5kt4wzXi4FVo7gHjPcKbAICj1gAj04aha/i+r78CTSPULX+QdZ8hx+MxjGa4UxCNAQ5X5os8QfuVv7qX3BELEwkAYK/R41URLX2KN96Yx9hy8E9+94tBwS9RZ0DBWNK7Pl3A+7/9UXwHvUDC+kHt0Yj3uudlwAC9ABgTYamWw6s2pvDeryGOtzeyPFV+ANjKFckeLCdUTVw0Bjr8kzc9gG95bJknrAeNhNUo1rKRygKVFfzN3Tr+9Nlj6CYJ6kc6ueiOWoOggy/MAEbeXSfGPnX/HH/23DFSuoZ/+uYbfM9KjAEmQHjzJpzx2FVRpsDARz6/j8HYxvWFEt72SpKkhQWd96sksFvLTiOtMKqMXfZvemQRGzPke5pI3Eqo+AEkqGoPTOQcEmTp2RNPP6THEmqUsGrUqzencHWB9B9PJEAogoq6zoUHKzkD3/QwYRGF6nJMXcIWbY9ZL6+HqokDovDgCl69MYXLs+ScIymDoYs1SZ8wAExt4M4p8f3L1Rxes0oCyqN+yOUt+g4Fn8V89OuuzOD6Qgm2QwLPiUzwH+z5Wp8u8CD8j58+kosbpnPA1AZvRVoprSCbCp/5vHvRxziVhr1JgtGrjX38x0mFYlkQVFvjfnSllsc/euNVTKeJH/3cYUjiz6m1W7E/hiXT1xfK+M/f/Ro8uFRBZ2jif96a4D7koOI13vqwVM3hkZUq3kXv8FAaLL2PtmiislxcRiaVCXzMcRwcN0nQ+Y/eeA0PLlWwVCX+7nASim3vnD/Tv7+dQaM3xsPLFfza/+urcGW+FGglYO9T9oEHoM3SpEOBMfBv//IO6p0hLs0W8d6vvYTVKQJm7Cr4aKkJwqX/mbIF3vbKZTy6ShLBUGCgtEjuJMfC/YNPAgAWi4sopAuBj/ZHFv6SCrR92xMrWKwQNtbE7QQCMMCm5rxqYwqPLBMWXbdDEhP/1B5eDLrIxDKOHMfh4O3/8YplFCh4O7FoYsMFBpjPfGSlioeWyJ6jdQbcQspOm/igqewUqmzEtmAMYPi2J1Zh6BrOuyN50SDJnstLeOGMJGJX58v4qk1yvp/ZughnDMwyxsALkVpSjuNwH/2Or1pDxtBx2ByE37MhZg+HPObLpYnPu2WRhHljpoC3PELuwj95JqKdIF8jo2UBoLnLn5/Z/CwqGXf8/GBs4Yiyir7rtevYnCmgPTTxkc+/iMlkFAjf1cmeV6fy+Bff8iBSuoY/f/4YH7td5+DEPf/Unlp87FHvDDGybOgaeVf+y/e8BqWsgS/sNvCFCVsCc/OE1TC+0GHYJo+jv/0JEt9Fxro+xtFeZw+WYyFv5PloWebjq/k0vuWxZSxV85guZuLXjrLWHmCbGENxVDkSAAPvete78Gd/9md4+umncePGDfzDf/gPsbi4CNu28Zx/lvfLpmSMMfDAggsMJO5hbR+RxF5L8eTPMEmSYWTreNX6FKYKaQzGNg7mycvEGQNGBqDaA6pVP+bQLs0W8bdukIf5f07Sw8oFgOhYI3r5rE0XsFLL46svkUr8f/dVpDh9b2wqJ9kMXFibKuDvvHYDhUwKN4/aycfEXLjVM4Akj2JV5Kff9giKmRS+uNf09FID8Fx0KnYgBLSapuGV64QCGxYcDm/fBsZjpKpVGLRlBIBAuSZ7Pmq5QScA5DMpTBXS0rW3dRLwbw56wDjeKbGLg63N/vcwKWOACtKgugroOn/mnlgiCfd+ZxvplAbLdnDsp8lpGlea5utE2P/1FEkQ3vlVa7g6X+JB554CYyC9tga9VIIzGpHzr7NRhdfgOA5vI/iu16xjfZqs2+iNpcjv/QK5hDdTxdife9wacEX4b3poAZdo1e/+JAGcr0f4b2gC+colUrHRM2fYPe/IRdASTCZwHAefozTrJzamcH2+BGBCcasQ4cFHVqp4mAbKd0468krX9CVsGeSCjFMC5qMKa6u4sVTB49xHT8DqYr6jMAtky1wQ7+pCGX/rMgHyhjiUt5LV1ol/H/fcmfERxsHbORe8/atJqKq27b5DtXUunrY5W8DXXp3FVCGNemeIT94L6Y+dUdMocRyH++gspZhfbezh//u5/clon8znVdf4e7w6lUchY+B93/B68hHzEJ2hxKdxam207xiMLa5evzqVRzFr4Ks2qY+ehJYvTCRgSfpyjSTty9SPHsuAUIDf+1usqhoiPHjeHXGRtvky9dE18r+JWV2AyzaqrGC3TajM3/TQIkpZAyu1PAfNt5vbsGzLrW4++KDrOwZN0kYRYufdEQeI/sW3PIiMoScCbwPmODz2OE0v40+pgOvf/epNrFEfHcr40HUe3LPRsmG6GR994QT9sYXVqTweXalig/roiUViBWCA6Qu8/tocLs8RP3pKRxbutncxtlwfwqdRKTAG9ht9HLUGMHQNr1ybwlXqo29POj1GiD2+RH30Y2tVPMiBAZXJBLcj2wiYVoGmAY+uVHFjiQDOEzFvASH2WMNtKo57faGEV22Qd/sz2+fcl+219zC2BX89tUn8tNl3xU8ldtwaojeyYOgari+U8RoKOiQdZzl84TZgmkjVqjD0BqDp+GKPxM2bs0X8bcqe+1/3zqPFDblGyW6ovgB710pZAzPFDP7OV5Pv4sOf2JqcnUFjj9s0X1mdyuPqfBl/l679s//jFj/r/c6+d2qPwshCBg4tVnIwUjquLZTxEI0PDibUGkgbF9AzNmADG60jLFNglQGskRoGPmBAbCNgo2V54a7qjomcOI5mRn/esT4f/TnBEk8luHTpEn7qp34KW1tb+PVf/3V8+7d/O/7O3/k7WF1dxT/6R/8o6XIvaWM9Vg8svoigk6HAtTWS6APoU+cAo4m+1eNo52cztOK6tQWrQ5OIhDoDrH/18mwRb7g2B00j/byJehRFagul57G+PpZAve2VJLn9A187AbskLo3HytRaFhyuTRdQLaQ5te/X4ua8+s2nKr5/0Yc9ImfdGrWQyw1wfZFcTAFqJp/NG98n7DgORwdZcLhYJdW2sKCTB10PP+SdXx3CGFis5PlHFnnVyLvnrSGhRa2Px7FBhWnZnBrNqiNs74dJkU6h4ge4zvYSDXgvhheYr5FEVaozQP9dHH2qNzJ5FfsHv5F8P2vT6kGnpuuuzsDn/oYEBHoaqG3gczsN3DpuI2voePsTqyhmDcyWyPspCzx5AmXHu+T/QdkCT6zXsFDJYZNWsrfrEwSdZ162EQMG/tbVGzA0A5o+hpNqyQPaBK0EW2c9nHdHyBg6Hl6u4DplDNyeZDJBiPDgoytVrE7lUc4aGFm2vAIjMAY2y+HAgNVqYbxD3p071RU8sFjG45RGOJHKv094kOkLXJ0r4Ynla4CjQ0uN8P+7IwEOReX5GP/R7I95wro5W8TXP0CSs4++cJo8gGsfkvFbugGUl7FDgaeNmSLSKR1vphWp//6lELBi9hru0bOOEh48bQ8xNEllZ+qVjwEAXjk4wtC08ZufSjbnHoAAZqzx95glk9/xikfg2Glomo0vHkr8PzvnGN/B/Gghk0I1T37HBer3jpoTtJoIwqUiYwAAZkpZGLoG2wFOZQE+BTO2TPJMhY0qZHueLWW5lgoLbCdqJWCg4vRlfi+xe2q5loMznoJjpzCyRzjsHrpCaQ89BGRLhN0FRNKB7512MLYcrNTy+MYbbgIBqIG3AeucAOMuoOn4zRcA03bwms1pPLRc4bHHYWsQPg2C+rz7F+T7Cnuu/+hp4qPf8ugSNE3DJmV1TayMTv2HWV3nrME3XJvD5Tmy7t6pgWK6CMuxPNNNuABhx4B1ED3ikbEFHlmpIp9J4do889ETAgO8lWCDJ+qPrdR48n73tBMuesnipfodbDfDJxKwFrKN6QKKWQOPrtQAvAidASFeYmy2awslPLExBU2jwI5VQd7Iw3RM7LcFVmLKcAttEcAiayNYny4gndLx+mukuJQUGOAx36VlMvqztoG7F+S53ZgpYH2mgEdWKrBsJ3z8N+DRCgobwcliltUpUqj6jletIZfWcfOo7Zk0lMgow5JNJGBFmb9HWb03j1qYzk6jkqnA8U/tURhZ6I+hATc2PZ4QGNAu7iM3RcCga429ZEUwX7wkEx48ov9+0QMMUB89qXAi9R279pzyP5l4XKGmaXjTm96E3/md38HBwQH+8T/+x/joRz866XIvOesMTR603Fgs45GVCnSNJH6JlDN9bQQAsH8Oz6ig114mF/DfnFkwFhcBx8HwJu2LTgAMDMau+NSl2SJmSlk8RoPlRMrXlNpCeoQJAMBE2Riy/uaHl5BJEccjitS4jIH4ZBUAukOTB8pr1PF8x6tJRTkxO8PXSrDf6ANOBgWdOPbt1jYWyqy64wvg2PdzsUV66KN+TG/MFfKZg2BBZxgAEzqRQKDzAW6SvlyTIZI+xgBzXGMzloZ42hlyka+ZkhscAiFaAFEmoPaAC4as1Gp8fM1MjVz80oBWsep3Qr+jQibFLwxOU1XsE+ZUzc9/hvzBzBUgZfCxWt/y2DJPHFjgKaOq3gd5Ji6N4pOKP32WXPJvorR5FnQmpqmKbUgzV9AfWTw4fMO1RayWyXuiZ+o8mPFYglaCz9Deu8dXq8gaKVxbYIyBCYJOn3ApBwZWq9A0jVekpO0E5SVsZwhAcyldDv0Rg+cJk+SoMIXq/AwquTQeo1TjL+1N0MPqAxWZovO1hRIyqQzyOq3s3w8RmFMUIGSJx3w5i1LWwFdtTnOhwMRnzYKuygqQMjhjYIM+x0xn4KlnDuXsjNlr7mjZmFGFAAmASo+SnugrF3uAILKmbKMe6ZcFgNo6Bw5XaDKp6zoMi/iQZ04lIAxjG8UAA8zvLFNGF9k/BQZaLyLJnrnKA1oWEKZ0jft/KeW/vAjoaWxRIbowYOBIVo2iPjoxeOvbM7uX2D4LGQNThSzsMYk9tpr3g3eUAuOI3aPinl1W1wTnzNhGlVX80XMkwX73V5O7caaYQSGTguOEAM6AyxjoEP8ue64HYwt/8Tzx0X+bgmccvJ2E1WWZ/C57pj+NztDEVCGNh5crWK7mkUvrGFvASpGcp9iPbUxNIT1Pqt2Dm7eDawvG+qNfTavjro+eUOuDfq/jyiqP4R5brWKllkclZ2BsOeHK9lSjBMMmts8JmyZqIgHz+cxHP73fmHDPLjDAffR8GZVcGg9QMPvz202ezAUmEygUJe4KrFsA+DoKDPyve2eJpoPw94kWFTF9iT9fLCZgrIE/FkYbB0wAQ/lUEz8wcOEt3FULaXwr9f9//HT8BJeA9c6JngOAT7fJ88YAP/auD8Y22kOL7yXpyEKmQcJ8P+DG0xOxugDg/B7yUySfuNrYEwp3ZN3WwER3GKK7IOZajsN/H/G5dhkD7p6XuY9+ca1T98xZ5X8yMTAg2vT0NH7kR34EX/ziF78cy70kjOkLzJezmCpmUMgYvIqWqP/FJx4GkKCT9ffda97Day+5/VFZv5J6AmCAzHcHKjmD9718AxWSSTReyjNHmKq1C/2rAHE830CrXX8iOB7+Mo1Mj7pnmLHgoZIzUKWUeeYoWgNTXdl41OOq0ezMWMViLrvK9xbqeMpLZFyJY0WinICbSM+WMsjRYI8lrvXOSHp5hAMD7KIjFxlnDAiB1mIMMLA5Hscm2ezfLlRySOksUCbnfNwayPuQw6zpZTmwBH6hnOOXRKFIghgp6KDIGBCDWRbcizRVleSPMwZY0EUrHUzJ/w3XXWccCQyMSYBzqRONvjd6I3yCUrc5MDDrAgOJEtb2Ea+eobaBz2yfY2TZWKrmcHm2yBMMPXuKu6eSgJYF9t0TPm86zMQ2AgDc123Vu8lHpXEw9JJHePBRKhzJ6IJSqqquYytLnvcNWwv+PTVXeHAVD9IK14NLFd7Dmjgp8U0kcINOEnyzoP6LxyHBu+LIQiY8yCqJuXQKX02B4Y8mHQEoCA8Cro9mmhavvTSN2VIGF72xXPtk5hruZ+JbCdj7sDadR/aBB4BUCul2E7P9ZvJJG02qCp0pA7ka9hqs0uX2gRd18t7ckd0fDFTsXwDDcCBlXwAGmC1yxkDCoNNxXP86tcmrTiJ4y320LIHXU0B1Fdu0RSasleCwFfT9yy+mGiUBBsS1V6byPA7Zv/c0rEYDMAxkr1OaOAcWo4ABL+AA4MW1Egi+g53lw8vEb2iaxosHcQKE90fEn8me64++cIreyMJKLc9bRJnI49YkrQStPSq2msFf7pF46WuvzkLXNei6y0aoGiRRYz35zHI3SAve4H50AudqwJB48ToFBiYeS0e/1/smEZSbKqR5xfkGTeRDJxOk8/we374gz5lceNALDLA7YCLwFuAxQye/hPPuCJpGWrIAcObtp6N0BhSARQayMx/94GIFs6UMeiOL35MqxmO+eeJjR6UVXgRbp88bA6Y+fqceLkDL4qXGDo/5/IKafkYvAK7JMRHFnb6HdmkRxwPit1hcnku7LKzj1iB+ZGGIyRgDnNX1IoCB3LTLGGDrlXNplLPk9wjVa2FgxrAF9C9CGAOyVoIXoQMDuIwB58vMGHj/+9+Pfl/ty//kJz+JP/qjP1LewEvVGDDwwKJbtWLKp4moqlw8zGUM3D3peEYFPbhUQTlroD000V4niQufvc4pOfF0YK4vMFfiidTfukHaE/76hbq6eq1PeBBwe+/YJQeA93WxS7o9auO0TypIPFmNqb5zfQHBoZWzBh8hdNJWfNmYA8qUgTzZFwsOV8vkhd9ubWO+Qqrlgcq+rrvgTYzOgL/HFACmixk+1tK/Z8c0MbxJUHUPMOA4gVYCv8YA4PawHgkOfmAOcNglFOGNcbyq6REHBlyBsflyFildg2k7yZTcQxgDi9Ucv5C1DElypMBAVREYoEnHfNnd81I1D00DhqbNL9ko44yBnRM4Nlwwg64tBrRhwEB33MXxqAEAuHRxECkw9/G7Z7BsBw8slDkgsDqV5yMLA0yVKONtSOuAkeECdV97dRaapvELS8/U5bT8/BTAxKBiwC4WdL6KamUsVXMoZw2YtpOMXus4Log5fdkjPMjOlyXyspGFA3OAQ6adIesxZ5/j+gIruLFIgs5cOsUD0MRjC4WJBJ2hyZ9b1sf78Bzx3/udHTmNWVG8lLV6XZot8T9zdQYSChAKvsO0bJ6Ibc6SczZSOr72KgG+ZCBMrzSHQ5qsXopo29ilY7DWpgrQczlkr5Df9WpzD8etQbIAn4OKa7AcN5FeEX1phtB99zqSZzZXAXL0mY7wH64GjPt+L3AtgIRgRrdO2pCgYVxa4r5jMUGf6bi2hr10tHbGMW8jE3w/a/eaKLgn/mNUvcRnp3vWrro6A51nSNEoe/Uq9Cz1tyqMgXY4MLA/SSsBfX/GtUto08qeeGfF6gxMbWIEYN8md4MMGPgc9XXfeGOex0kvSiBW8B1/dYcA4uydBtzElTFh/Mlq7vFXAQAGJ2boyMJmb8ynXryaamWwVoJ7p93kKu7jPgGMAXy+Td6nR1dr/DweUtEZmLlKxvh2STupfFShK+ANkHg6Y+hoD8zJ9Byoz9uhtOu1qQLydIweO5fPbp9z8C3AGFBgK/J2XPq96bqGr6N+9GOK7QTOeIzhLRrz1Yi/uEgTEGCmmEEll+Y/4/JsEabthLdX0JjFauxwUGmj6j1rFrMwwAFwdUomGnVKY+B+mbw/07Q4ymxBiKMZMCBlDDR3Q4Ueo8DbiVoJBk2gd8ZbCS61jpC2XXYALwqGrZ0pEAFTALjYCowqBFyA1gPeMh2YSRkDTOzQ+TIzBp577jmsr6/jB37gB/Anf/InOD116X2maeJLX/oS/v2///f4mq/5GrzjHe9AuRxO0XzZiN2iSOkNARjgPaxJGAO835YEUyPTxvZ5z6MInNI17tRu0TEf7sjCTfK/CowBPlt01k3eH1upYrqYQXtochEw5T1TKrDjOByR3BAcj58+zy68ufwcyqmcUvWdUaDWhIqRprnUTOWKlFjxo5cboxtemyKOa7u17ToembOcUav6cZqqQCfSNA0LTGfA53iG9+7BGQ6hF4tIrwtjqgYNgk4CbpIdqTHgrrvbJhdbWc9iyrZjz/lIQoEyUjoWaNKdyKn5NAaOBTYCC8RGGql+SCmfyq0EwaAzY+hYov+/Sg9rZnMDeqEAZ2xh2DL4z5atHRZ0suBi2rJQHbZd9XqJsd9XBBTTKVeQK1E7gVDxA4CP3yFVXxaksOCHtBJI1tU0YCpeBKjZH3MaO2MMaJqGq5NQVTvHVGxVB6prHuFBN+gkgahs9u9OewcOgLJlY6oV3nfJgQGqL8DMbSdoqO8Z8Iw6ZWyS2VIWtQJhXj2+QKqoTvoEz+xLgmVFxsA9iY9+A2V1fer+OQbjBJOEhB7hg8YApu0gY+i8XQpwAy2ZH91ySPI0bVmomeEALg866fvBwLZrjT30RhY6YdRMmQmg4nGL7NkQqPgAsFigfiVsCgQHFkNmUkPuo9lZdIZmwj1T31pewknPgeMA6ZSG2aIIWEYHnXvlWZiahrxm8HYrv8nYYqyVoNEbq7PnADrvnTyL9Sw5r6yh80ofQBkDFBjALZKQe4BrBcYAZ4sJyTtjf9Q7o2R7Bnjs0c6Tym4+nUIp6yYkUawusudN7KYNOBpQSpcwkwuO7WZ3/6pAYWZxzUVvjGbSkYX0fMbVDe53GP0ccCvPwz6paHt6sQHkHnslADaZQM6y/NzOBRyH0NtnaSvgSi2PfDqFkWXzVk9lEwopnz0miRsbBQy4cW/kZIKpTVzoOtr2EBq0wBjfkWnjDtWoYYBtOqVz0OFLqvEoM6GQcnvIwBEXYGVMimcOWlgukHvPPwXCZSuG+457jNUl+Oivo0APmzgRZ8N79+GMRtBLJaRT5N8cgqwhxtCAW4k/CUvgqb87aO3CtE2k9TQWC4uej+xICmxuEWwCTRUae5znyTmK7wog6rUMOCDkea4rK0To0RqFCj2yWGlVBAZitLoijb479swU2uk80rbJp0KQtaPBWwA83+rWb/Eipzha9sinL0P+7y8PY2Dvy80Y+PCHP4w///M/x3g8xnd913dhcXERmUwG5XIZ2WwWr3zlK/GhD30I73nPe3Dz5k284Q1vmGj/LyXjEwkW3ZEgTIDwS3tNNeq1Z1QhSU63zrqwbAdZh7zYzHG9hqr8/7VG/nd07z7sXs8FBpp7gBldIWU0VbGqr+sartCLSXmcBp8jTJK8i96Yo/cex0OTShZ0cuHB6iUB0IhuJ+DVqGmf40mKdvomEnSHJq+SPLpwhe/PBTMkzpIH99GMgQMJ0gkIVFXfnkW1Z00XXml2ORfngEwBQ9NV0parnrrrcjQzPw8NiGcMSBJhAFiqJRxZaNvupVpdQ3do8mdjseoCAw2TVBEiWwla+5Fjg1yaqneMWpJxWJquI/sQUVIfXBCRuM7QRJcGrCIbISzo5LoZFqW2RyTZjC0irgu4FamtJNV33oZE9AWeoZM0XneF+AiXMXCKu6cdeeVWYWwQo0duzhR40AkA15m4VRJggAW21VXAyHiEB5ldWyghRSn//veQUyXHY2gN+Z7tXg+je8Sv3qmtcAYC4IK3idq9bNtDy/e3EQDuzGg9cyqfhTxD2UYX9yOf6fu8GuX66CtzRZSoIGMigE7QVGGA08Z0AbrutmDMRwCh210izLUxHkcGyn5WFwMGbrQO6NoJAk8BVGQMh+Vanrc3AcAmpck2zZBRWxxYTEZTLWYNTidN1E4gsBxYH+liNec5Zw7ehtxXW3nyLG3qOa/4rGAytlgll+aJcaLJBO1DPg1pH/N8z+LPXqm5rQTl+yQI9gADShoDwXulmk+jnCN7Zn3EykbjpTpljSxUsp49r9M4IRQYqG1w8dKN0or0rFm8Mi/cK8WsgTnqsxNrwVDfep5Zgu2QcxWfO/auXzSJDwy0EjxC3qdR24C1J58g9pltr74AQGI7dzJBQp0BIV76EgU6GfUcgGcyQSgjqLqKbcqCWSouIWd4Y4u7VJiynDU8iSUHb5NqSPUvgBHxzV9oEZ9/bcH1/Su1PJaqOVi2gwEFYYKMgehWgsHY4n6JMQYA8Ikmzx8FwWzpOmLM1yK+9d6Y7GlTABwAxBfBaPV9Z9wAQMb4pvQU/2txaoxYYGPrnraHyds2aOxxlHJHFYbtWQQG+M9JGUA1eqLaQTMYR/N1WxPsmfqOZmEVd+nP5sxrhGt1eYzmLdunTwMApnPTnrGQUVMJjpoD2ElacgHyTA8aAL4CrQQA8Pjjj+ODH/wgzs7O8NnPfha/+7u/iw9+8IP40z/9UxwfH+Mzn/kM/sE/+AfI5XLxi73EzXEcTtsSGQPX5kvIp1PoDE252JffxFGFNGFlQecGpadst7Zh2iZec4k4nr8+A4y5OcC2Mbh5iySN6QIAJzb5c1sJvI6HUYqUafk+8TB2US5Vc7ynHkCAls8TqOolDirETSbYvQgind61FYNOgc4HuAlpJWfgwVmS8O+0djBbpr1RMufA9qyoMSD2mAJeFFU0cSKBx3z6AmyGddbQUSu4lR0ZBSowIigisBf/rejQxP9fmaraOSYosKYDlWX+3RczpLLDgIGz4QEACwcNiRZAeVlAk8Orwse8GuXdc1LV6zyfFZ0GamscmS9lDRTFahRF8vcv+h5qJn+u2ajCiOdD1qIAYLKRhYLw4El7AMcBcmmdgw68bSN9gfZwIG+tUJhMwKi1r9qY9vz5RAKEvlGFovAgs1w6xcFKP1WVsY6IoOaW9EcMbt4CHAdnuQq6pZoHCH1sjfycZ/YVwVuAJFHWiDyTlVV3IoEADLhn3cCntiQVkOo6mQ5gDoC2PKG1hbaMS0JwqGlaAGRVMkG41BWH9fv+8HWZD9mMaUVigbILDBA/drVBBAhDK13SPbuMAS4+5QNYr09vAgBGaKAzkjx7CholYeCt204w2Z4PJMwrwG33ChOg2jao8KAV/kzKGAPkZ7G1E+yZ3YfVVRx2iS8TmSQABQboON+VA/J8eBkDm+R/Gzuh7VMMcJ5/EeCtd9/EfxzoS3Rd756Zj945D1k3U8B2kcRS65kp6Ue4jy77ffSEIrH0rM/SJIny37GXadvQQZ387/ngHM2hWy03pqZg0Fhi8KXPSn/Ep6noLOujZ8Z8dOKRhdR3WNV1zghjoCpAGG+6Bpx1R/JJGwBQXXMnyEh0M5g+wY2lsgegYYLYiRkDvJAyj+fr5K4TwVvAZQ3sn5C4/XxwjtZIuGOq7ug/2TPNdLrKOXdKEeDe5yPTRqsfzzZyNaUe5LHZc31yN22G+egwn1SYAdIFbIW0Il30xrzQISbwcxTkH1k2GklZMHTP29YsXdcbn4utBKvlVeiajp7Zw9lA0LKJ0BnoDk2+JzGOZrnKyLJxnnQULo2Xjo1l3K4RAGjgAQYUKvs0T9tqEGBEbCPoDE20B6wI5hVM1DSy57Oke6a+o5OewRDZ6M8Kllh8UNd1vOIVr8Bb3/pWvPOd78STTz6J2Vn13oWXjVwcjd4YuuYNDo2UzitfShUpsUc4RRwoAwZuzK4jm8pibI+x39nnzqLeGSIjChBqmlLVD5C3EgDgSLhS0Ok4bkBOAwOZsAngXtrtgYnB2HKFByubbr9+HDAgQToBETlUDIZ84mGu2nUBy8VlpPU0RvYImtEgex5K1Ek5mhydZLv9q3LGgD/oZJcEmwHO7cIN7AEIolZ5z0XKAg3imIgz5cIo0w+QD/XOgFF4QHMUEnSuJGUMsGC8vAyk0i4Tga47X5hH3sjDcizomTP0RlbwUkoZAG2ZiQruj3nQGQYMqAWduQcIDXxwnqYU5qB2AUACxYyhw7SdEHYG9aNRwABb2xco8x7WJCMLeVXnklvlKrtVv9n8LIrpIjTNgZ4+Dxn/t0n3HA4MsOSdaagwYwKELyQZWRgjPMiMTybwAwM8WR2TJEESvLnCgyu4vlCCkXKvyWvzZRQyKXRHlhp4CwgJ9hqQMjj9lQXdAKkc5FMlaJqD+03JWaYMt68yxOcdtwfoj8l8bD8QmshHA3SkLB3FNbWB7ToTHvT5aLruqWTdnRZ5jtcjgIGRafPKDmN15W7cAHQdlX4L04NWQjDDrb7vnXtHFTK7ND0L2yRnv92WnHVMK4HjOBy89ftopaqR3wSWwyFvUfD6pLj+1S2HnNHGQP7+O44jtJGFsbqStHvRs6mtu21Tvj0v1/KAXUC1WcB0B3A0DbkbD7gfqK4C0EhxoyunUJ/EgrcJ9tw7521aWzZhOfh9NItB9s57oRXFnQLxLZu6PNA+DgEz2LuTuPedxmVHOmkRmfPtmTEG6i1gNk+qguzdY5a/RBikg5vykYWsvenhlYrnzyceWUh9Xt1YgO2QPYvMvFw6xcHL0HaC6mposir+O+brmTHGwLNJwFtAOpHgusAYAIBH6fns1C3M58kz5NF0YDHeqE160n3misOWPDGYKLinUmDjwMDmEpnwpRt4ukmerzAfHepHNQ2ormHboEyYEH2BxYq3cJcxdMxQEfJj1aIgM+rzXhjWAAR9tCjkmkllsFwk8ZznrCMYRwdC4a6cc4tgGUPngEzidgJ67+5gEXc4MOAycNzKfnwrwTbVzRABL+afy1nD096UTukchEmsBUN9x4mxlOiffVmmErxsyYy1EVyaLXpeNAB4nFaknlZBOy+8ySogjsGqeCg4U4UMDEpNtK6SyznJZAL/fGzR2AV4olJ9750RpwkIatdBfQHAJxLYGrpBfXVTqZXAcRyhGuWnKoWIBIaZr5WAVZOJ8FsK61SAsD7YR5GK1QTWFkXxImhMMpoqIJ8e4Ng2hs89DyBqIgETHpQHhoWMwS8l5pxcYOA6EVwEIgENUSBQNOYslYNOIbAH3DNke9Y1naOs1WoDQJgAYbw6MKep+gKt1TgBKp/l1kjlaNDIwMlUXLq/LzDUdQ1rU0GqKj/rUjyFma3tDw4vzU5QjRISkhMJmOEVIDyV6wwogIrsmfInqyzo2j7rhc8N9xvXVJELDzJ7KAYY2BibhDbaDYo9DZ4PCg8yS+kaHqEq5sqzsn1sozsSxoCmaVgrkb8/G4W8Z1WhRUZirI2AzccWbT4pENo+4EroKC1yNfXNGTnAKm0lEKeahPgOwvghTBUW/Oj5PLJXCPB7rbGXrPrOnunqupu8S2iqrJIdUBUHXN8RolFy1h1haNrQNHDdF3FtYHLGgFvV9wMOdMJLeyhNdphK/mb7HLCD71J7aKI38o7AZcZAiEStBMxHVdcEwMF7FuzcN/aJbxqvzkEvCM+PkXUBXAnjSNRqCAUGkvS+s1ihtIjDnh6yLtlfW6g4+o0nqxJ2xmBs8arfnI8xsDmJjwa4/9gOATPKuTS/D9iEJD/FPWoywVioRPpjg+uTjiyk3+cWrQg/JmjAMLsRJ0BYXcU2a9sorwf+2j+RgNmVOcK87Y4snogrGX2mh4K6/5X5MFr+QC5AmCmQCjwgjT3YdJ8rvhgaUEjgqTm2jcHzNOZbobFZZRn3z8l76GcMKPmk2jp22HNdlgMD/jsWcOOQRO1e5oiwnQE82yXfnR8Y4C1q9CwYWOHRGYgQTpcJDzKbyEcDvChxezzHGQPDW7fgjKnwaoJWgq1hA0DIRAIfU5j8WcICGzOmL0DbvVTtZWDgf4O5woOVwN+t05daqeLAUXtXlIXTVOdKHmBA1zXe39uhkwmSCBBu+eZji5aolYAF9uVlMpIGwTFYzESRwMNWl6PgXsZAuEp3ozfmgUWQqsScgyLLwRfc7/kqRuys77fuh69doT1Ro44UTQbIJc3QV7+DWJTQVEfb27B7PWjZLLKXL3s+7wcGZP1LzHgC7wcGqpvCOBt5oKxSjVJGOptukAwAR7T9QVyXXciVcsTIwhgBQsdx+PfjD5Rd1Wu1PWcqNjTDhmNqGG1vC0l28Jz9OgOO43hBGECNMeBbe4OPw1IcWThs894zVFZCwQw+sjBsMoEoIBbyc9lEirmSP4nKopwzYNmOHHSQmdBKwALDh5eDQeeDkqDTcRyeCG5mp73rCTagQNud6qqn1YsZE00M7UMO7HmL7nkTg7HF/91VH031co20RwxwJAdKYqZt+OdjixZV2Zfvedv9mbqOnXO5j2bPi18k0HEcLwgTAgzsCIwuTwXtIdKec7Wxpx50WmPStgF4NAb8vn+unOXAwK0zyf0hKl5LjIGcc6UssoYX2J9oZCEH6NalowrZnlO6BitkwssWnSCzORrwoFs0tp9qPu1R/wYECmySoJPrwKyG6svMFDPIGjo2D8jPO/cxhgBEVv1OfG1korHvNBFjgIOKl9yqvi/JzqVTvGgQ9n5vgySNG71gssz8c9bQUcl59zwRY2DQBPrknrszJs+sn+EGuCzOAmUVBHQGHn2cLHcQPK8zmgQbuoapQsbzd3wyQT3hZAIm4jciSfKNpaAfZeDtzTBgoLzEgYHNTDXw14wx4PfRKV3jgrGJRi3S9/DMIGe4OpUPvCsi8yp8ZGF47OFOjZH4aFZgi4mjR1vbcHo9aLkcMmWSlFqVNQ4oBFoJKgqAQ81t2/CzM2STvZhNlGS39gE4QCqLZxpkb34fvegDshlY4QEGmJ+WgIoHkmk0/rVZbKlsNNd4pj+Lo+I0nEIBzmiE4T3iV9wJL/HAAPchwlkz3+8HhQGhlSwpY4D6vHumur4A8DIw8L/FbkpGFTJL1AvqS6JIgO1WozYFnQHAdRCnyyQAHd69C3swUAMGzr5MQadPeBCA0L8adDxs7RfqexjZI6T1NJaKS+6/v9gKFeNiF/t8ORtgZnCkUwXM6F+4LAfqjLjiKauKCIhmqLOMQZMBEsA5DpBJ6R5VakAuPsjbCG48AM3wXmJ+jYEwur/4Z0fNPprDJs4HJBjZqGwICYk8YT3vjjCiQYM/OOStBKqBcsOtYgNyuj+bsZvOkX4zaQIf0yfcHproj5lAoHfPrO1kr9FXEnvROvvI1cgFPXj2WX6x+0UNgSAwcNo/Rd/sI6WlsDr3CPlQSL9+f2RxIUZ/Ar82XUg2spAF9rkqkKvwd9d/Frz3PXsqp86zy3kkn6ZgCtUo/541TXPbCVQrUkJwz55nWSWDAQP36130RuTMGsMG7wfldEkfLd8ejTC8fRsAER6Ugbeuv0vONrp32oXtkATND5Q8QMVJ9cyp3JcysaWQJFsmPOjfs/oUFhdUtG0nlNVVyLi0R5GNcDG8QJv6zDXTDAW7wjRgxMkEyjTV1j7g2EAqCxTnPawuz9rpFHJUnPe2rC2D+bv2oXQcbpi+AODS6RPRVCWMAb/GQErXQie8tEYt7q83x/KzDtOAIb/HBIwBgW10HMIW0zQNK7U8Lp+Q9297yXsHk3/PgvutwF9xDRjJnpPqwADwsI3C9GWA6MkE3XEXdYv6nXaQbSQCrH6wcnMSgVjmOwqz2O2R8/OzxQBXyE4bkwRg29eOlHvV1wAARk0HdstblGB7ni1lPYKXADnnXFrHyLTVgVCAAz13RwSA9RcMAHesbFgrgaXpbhXb8cY2p+0h6p0hNE0eR0dNSwnfM3lvmEibv40AcO/H0/YwfGRhxGSCe0IrQdjaccxbxmjLPfAAtA5hj7VzhCpeK6RRFfSjPOtGiASOqis4ZDolPj0H1urrZ90CboyTSAeGnotVWUGTsmv8CbwoPmjZjnwyQQSoyPVlpiJ8dBJ/N+7z6Qef79TgaDqMB24AcL8P5v+a/TGPOQJWWoSTynLWEYtlAaFwJ3lXJp5MQP3q88Pg9JQoexkY+N9gtxSAgboSMOCi9gBJkIamjYyhY226wF8m5rjY2kfpElIzM4BlkVmoEZQcZmpIpwowQPYitj/woHNaFtCSl+Rug1zqa+U1ophaXQOgETGunnz2a1jQCQiKqipJFNtzaYEk94BQjSIvLHvBCTAQ0aYQozNwKNCJ/Jc0BxyaroN3RWh8bQTC6B0WfLGAUs4YcB0PY2bM5edQTBdjR/CwIHi2lEHG8LoU9rNO20M1urgP7HJbCdxgiD3XFh3TI21TiGEMsIuskjP4nGJmi9UcdI30P8uqcwFr7PLZtoNnnxU0BoLnvOYLOtlFt1xaRppNrQgR42IBXC6tc/VzZolHFnLfsU7XplV9/7QD3kpQ5zRI7w/OC7N5g0lWvTOC45DEZtpXjQJcqqqSuJVQPcPUZuie2Z/VCmk4jvuuMj+4VFxCbooBi949D1+4DZgmmpkCTvO1EB+tFsBxE3zenVN3IoE/cWDCmuHAQLTvYLTZS7OSoFOxGsVNEB48bg8wNG0YuiatwMiEXJkPWcrNIuc4sYwBP7jDBAivNA8S6MAw37EKG1pk1ahGhdy221vBdYpzBFxwbKAVFHrcZ+tKgs7IcbUy6zcAJhRXW+N7lvnoMJ0BlgTOOSkUHbmIMPs3skRYqdLlNwljQJb8LdfyuHxG4p1npyV+OiL24ACrxI9OpDEgTNkIm+4CBH20aMxfT1sWKhfBcz4JAVgBF1Q7647QGiiKtQm+4ySE5QCAi632u3K1fGPtOoy8DUDD4PMf9+65Fe5HPZMJVKvvgxYHiW8Op+nawfNgiffd044UgD/qHWGkacjYDpaG3u+CsdfWpwuBqr74uygzpACX5TCoAQgKDwKur2sPTCwXQ0YWhhRSHMdlxr0Y8NYjNk19Xj1FqOJ+RhfgnkWUsOFetghb01BwtMAIThZHywD4xGO/Ae6f+gUCdE8V0h6RZoDEkrpGip1n3WGgyAlAYHbtE00cwcLacYHw6V7ReyYAjJ0u4twmRZjyo6SQw76PctbgbcShjDFdx9n0Orq6Dh0aVsur/K/CxGHJ70HB2yQ6MAD3H3fHyXQAXzQw0Gq18JGPfATP056Xly3eGGLsp5ICXocWSwn2AQN3TskFfHm2iJTu9gfzRI8jhyMeePWffVaJMSBTu2bGLsHz7ggjM4ZuxlB7Gph3hyZPvtZljAHqiLfp78CpN6k0UKYJSUjQyUcVylBDJmwoEwn0mxBQMHPFpwqefW01t6KrRjHCVrL52P49i4qqocCAh+Ww5tmPvxpF/swNOpkgFz/rmCQ7iokwTemkgDsVIdJ8jAGZdgGr9vYcQp+NHFkYwhiIqhilUzo/o12VilRzF7lpBgw8F0rLB4Rq1JkXGCDMDHpJjLtEKMtnMoFA0RKNLGy6SZS4tj84ZNUDPVPH3kWIFkDEPHIWmM2WMgGgC3CpqkqMAQZ0FWaAbJmvLQtoAVGNmXyOtxFUNgXRRO/zMXiO6K7cra56RoyJxn20CmgEeIGB46DwIDMRhJkEVLyn4KOVwQx21lMb2Kq7lXcjFQwZ3IDW3TNvI2DVp/65VLw0TCAw+8ANOJqG2UETvWO12d5iFfu0M8TIspHSNWmSvZCnwGN/L3jP6rrAzgj6jzBxWGCCVgK2fmEGQz3H70JZQBtWNeLaOwZ9piRJtkob2aFswovMBKDHEcRWZb50M2tisUOSuE9VTmE7vvggQlk8bJws4FKPz7qj8Oqc34TWS1fENZwxINOY4f56PAZawRHPUcl7OZfmwmc7qu0Egu/gLVmStdk7f3pR4fv0fJe6jtw8Sb4GX/yM598yPybbM+COlVWm5bPnLz+NnU44y2GhQtTWTdvBRS+ots789bo5RsoH0LH7SgZGAUHfr7Zv8i5+sUPaFq5JGAOi7lVJI+DiTmsHlqjrERIvnXdHaPbH0DS5j1YViPXEfNR/7Nkk8fNrwABeYcMw9tUWZQtsWHYgtojSGGDnnEwHhryHzQxr2Qiua6R03vp80hrymG+nLZx1eQnQ00QLx6e7E6UxwAHWRGNwqf5EcRmAhsVKDnk2ppp+H5qmCa2z4eexVSW/93K6gkzKLZYwBkNc4U7ZLFfbZ9tZCLQ2RVliYOA7v/M78Uu/9EsAgH6/j1e/+tX4zu/8Tjz22GP4/d///aTLveSsK8w4l12kHN2LGwEiVmEYMEAd9xUKOLBA87B7iIE58DienDiZgF3Og6aUDgxEAwNThTTSKeJMYiusLBDyCQ9OFdLceYnGAtrjPvl34niPuEA5ijFQEtC9WLSTX85kz4OxxZMSLrAknPVMkZyF9FKKEcWLcmh+RVXHcXg/dFB4kF7OpQWu5RCFSC4KGgOeZBWITbKjKkaapgn6BTFop1jtopXsY0mli/Wb9awmoA9CNAYYmix/NmTzsUVLVJESGQM3b+KU/p7yqhF5f/yMgc3KJpDOudV3ac9tdAB3iesMKASdDR8wEBLQ8mTV6MDW+vL+2IjJBG5lTn7ODBxNxnIgz2NcQOsm8GQPnhGcIf36fCJBbUUZcIg0gYKI2iavul2RUEnXKoQFpaWG2GocB9cSQUVfAjcybZ7IXPlytBJcuGAo0xdYl1SjyNouK4gZ9yG1K0C24u7bZ2HVqFSpCH2VvMOVvbtqCatAyWfv7WIlJwUz1strcBwNI7uPel/COIsAQw9CJgcArh897QwxVunJFvYsjpOdKgTvwrDRr3xaD1Wkl7YStFj/anjQ2R1ZSqPSxHnvF8Y8LwbIgNAHWgS8PaoB5+khTnon3g9EgIpRgEM1n0aZBrqqWjDsXR8UlnhLlkq7l2j8ubZAGCU+/+GCt3LfsZF0ZCGNPezahtuSJfGljJq+f5qXj3YDkKOTW1jMwPccwRgA3HhSHRggz59TW4/00emUzllkMpA1SqOE3VehPjopQ0pg7nzqgnxHssKdpmn8Z2pWDRk9g5E9wiHV+AAQyrBkwO1yNR9obSV7ZuBt+J4DMR/XciACyH59Ab52zJ217ZCfuTnoe9qnxpbN/Z0UGEii1cWM7vlYI/7KDwozE8dzLxYWkdbTGNtj96x1XdC/8vo8PjUsAryVjhQPM/pdtrMkPluq5njMPXz+JhzazqwylWY7TwCnDd37HkfF50xvLGxcrXzPu4BjwUplcYpaaKwrs8TAwF/91V/h9a9/PQDgv/7X/wrHcdBoNPCLv/iL+Omf/umky73kjAVPBYmgDgBkDRfdi6xI9c4Asw9A46J2LHlnQWctW0MlQ8ertHc8WgCsh3Pw/POEHl8iKJaMNeA47nxsGQVK0zTeLxsbePqo4vFBJ1m3MSaI8XpFUKeNAwZCRhUyUxZO8U1/YI6ykEnxAG46N41ypgwHDowcqfbKGQPRe3arUfKXWNzzeP8AdrMJpNPIXrvm/aCvjUCkxUdVjY6afU5N5SDMi2AMACJVNcapCQEnqquwbcedCS04tVKmxOlueqYe0kpAK37DFrn0fcbp/pLAEEgobtXcRbZiQsukYXc60A4P6J5lNFVyFs3+GM3e2JusAi49ThLcRzERgKSMAS+oWOcBnPc7LKaLmKMJh56p87FWHqvFMwbCAjj2zKhpqnj3HDahgZm/Ss5BmOpm6HvIhQdrK6FgBjv/emcYr0HBvsdMGShM80RYFsBlU1kUNFL5udeQ9L5HiJfunPdgO0SoTXYe7Hdp9scYjBVaegR9krCJBMxkrVNSJowEWNyJELYqPEICr7WzPbQGCglr0/V5rPdcRvcHgOVqCc5YTrsma4Qzu6I0BmaKGaRTGhxHkcYssBwOhIqRjBEUpnrtgovh1fcojYG8cI8p6QywMynM4rhP9kmYYcFkZ6VO9rKzQH5usB97w13TN03hSKIvI1oiHy0UUuopEuvk0/IYTAkYYOwMf8LKgIGQPScWIKTxWDu/wluy2Ig40dam8kinNAzGOubzpN/cL4qXu0wq3IO73ueDAadhYAZLrpRZMPQeMCvrHDQK89FzEQmrh53hO+fTkPvKv64yq4uBGYVZ7HbIM+0XAGXGfuZZx+TxqOe5DvF3TKNHFkOTdePbHzwx35UrPCZ7pktAn83Z6Fg3DCjZZppS47Gnfeqg0YftELAyjPUBTKYxsGuTGC4cGKD3SnvgmfwVpzNg2Q73HVJgYBIdGLrnM4O0bCzV8shevgwtm4Xd7WK8Q54flzEW7pOYvsCmj10dxehdjplKIzXqOzp5MhZ2LiRulFliYKDZbGJ6mlyoTz31FL79278dhUIB3/zN34zbVLTpZQu3qL5YZkoVKeZ0Sgtk7I/weXb5a5rm6c0RRbPyDO26fQf2aBQ5duy0M0RnaELX5AEcAMypOAjbdmdjU+fp6gtEO7SeQ6puHsXUmCSb6wBIRFMAsTc2xkH4WgnEGdYsgBPPeqQfh6+r2kogcWiAV1GV0Z6z165Cz/iCBR8wcNxyRQ2nJYGFSFUKJKtcjOtAKsYVJpjlXzt21Aqn1c4CmQLOuiOYtgNNi+59r3dGwWQnU4wUelRnDMQEcJYJtA6g6UD2GtEIWDplYp/BtQsZg1Pkdi967qx3BnhFAgPRwVCikYUCrVYUCJT5JbGd4J4MdJgK9x1xFTQGKDZ643gNCgFUdBwnVDCRmT/Q8rQSsCS7tc+r7854jOHNmwDIRIIwHz1DRUHDKLAeEzVVNI3vJey5m8qQfe13JCCcR7zUV43iQWdQuwAAKnmD63/EJqzmiLzrAFBbD50aw0wUt2ImBwa8e24NxpwVJ7tXio+wyQT7aoGnMELPrwET2LM4slAGDEQIru5H9K/qusbPQynw5HteF5L3aD/qT9B4K8H0A941BTuM0BgQ11ZSvRbAjLCJBMxmDgjAdX+OVDT9onioLBM6sD0O6DmcRLQSAAkFCHtnRI8IGg6dKb6u7F1hwMBBox9gfXAQJkvfQx+FOWzaATMGCN5XFSCk/qOeJsl+WEuWkdL5vqepD/EkUHBHFg73z0nMRy2OMTCfOMkmP7eTJ0BEOWdIK+Tiz5QBw+64UzNwh5/G7tkLCscaXd8sr8J2AF1z/XxwbXfP0t53xlbsHANj91295yvcRa0bZmLMp5ltWhwEPt8gz1W4j2axbghjgLaPro/HHv8hAreyd2VB0BdTEWoGwM/6LmU5yFoJyNreyr5cgDAYL520B7BsB4auRYIZyiA5wO+uQ4fcGcvVHDTDQPYB4nMZ09A/3UtmWw75DjaHrq/tjyx+F8rGFc6VszDoVBplFgwF6M4zxHf4x3JHWWJgYG1tDZ/4xCfQ7Xbx1FNP4Zu+6ZvIHi4ukMupUxVeqnYaEygDwvSATsQD4KueAfIgnCUc261tl6rUHsJYXoZerQLjMVHhroVTr1mP6cpUXloVEH9mZOWve0ICAE0n/UFwac+yiQQAOwsTlk5ocd5WgnCKu207nE4UxxiIvTx8rQScpuQLOpnj6tqHfN0ABTYWGAgPOgHv9IBQfQEgAAyIvfpR1aj2YBxsJSgtkHnmIWJccUm2snAK1xdwwQyAqCX757KzZDWXp5MJEgoQusJW8vdwjfeZxuxZmPeee/gxACSRkY3YYrZOgaqtszYfK8Wf6yhgICYYEqtR6vokax6BQFk1ioMw2VN5ghbRShDHGKh52pBikmzB57WHJgZjxWpUewjLttyzrm7S+elMvJQ8Q8N79+GMRhjnCjgqToeumzFccC2+DcmdSEBGzcknNDBbLBB/fjqQ+4ewJHsnYrILQIBL5XaC1h55140cUJqPBW85bZc+n7Zjc8DL27bh3TNjdE0XM9J3hfm1q419NaqqoE/C/MFqiB9dqORgD0mQF0hWgVDfMRhbnF0jq0aRtWkQrjRyWMIYCKlUyhgD4llvzr+CrrkXmNQTVY0CRB+tsmf3PWS/42LI85y9T4pFL1QJ6ygAwugp95n2+Y+oVgIgYbuXUEg56hLfGFVtzho6bMd7Z4kjONfL8vfwNIYxsEnB220V8NZ2WxWOtPnIPQPunVXUCN3ZDwwYm9eQyliA7RCRVbZnrl0QzZBSFwElz+MFTUiiYt0okUAO5I7Hgfcwro2Mi3h3FCusdM+9AgEzZkpkPGjU2iftgUdbilthGkhTXykAR+zdigIrAaAzNEN1MzwxH2M5lBax0yIJblgrwVxMa0UYCMPiH1kbAUBisyidiIAJzJ3neoTNHNdKwPyAOPmLm6QVicXni9Wc9Dus5Azk0zEigX6jZ71tkaI4AwByTGeAauwtKbBrtkeE7bfRcdu2mX8uZlIBYWmATqWpJPDRAD9n1rIhE3ENs8TAwI/8yI/g3e9+N1ZXV7G8vIxv+IZvAEBaDB599NGky73kLI7+CrhVtGjGgAwYCK4tomxeYUP3oR4+/3xk9Z1VEcICIUARGGBrl5eBFHn4w+Zji+vqmXNAc1AwCpjNC+qaEXs+bg8wsoiStow+Ke45kjFgW+6lRBOgsGoUO+uzIbkMRpaNC79OBNvzBKOwAK+iahJgIEp8CiCaC+WcAc1oo2f2oGu6q5iq626FVfp8RK+trHotBMmA0KIgCbLYWeeLhAInBR0itBHUg86YapTQq8/ac64090MDQ8C9ZJ853oZpm8joGSwWF+meFVoJQnzH6hRRy+2PrehEyjLdgKW6KoyrklejGGihZ+ry91sEFX0JSdyePW1IcYGn4PNYIFnOBqdKMJsTAriD7gHG9picdWGRsKxY+xTrPabvU31xA44mp07ytUvxtE+ytvseXvRGsCgDRgbAAMA61c9omofy9ULA0DgxLiDBmEXBdzhwWV1hNFWuA0PXPemdYGANYGgGlkvLQuLn3XOUOCwA5B4k99NS7wynh/LJM9xsW3imRcaAfM+LlRzsUUiyCoT6DuaT8ukUahIdACAhVVUcVchA4Zjk/bg14MmO56wXXwloKcAakWoltcHYrUa96HYvwMPckYnDMrM6XTi75Fl6oSQJ6plJgnvHcYSJNGE+Okm7l+s7XLp/uE+STSZoDBt8BOd6jbbuJdQY2EyiA9M9Jd8lNOxapLqqwjRNOwRE8D/XWm0NuSmScLLKMyBo14Scx1yJnH9rYKpVWOn3eExbNqL3LKe4D8wB7yXfGJsB8dI4kHy6mIGmAbYDLtQcadTnNbPqYMZJayivYmuatJ3gNCb2L2UNFJjuVcj9zRJQUXhwUHSZGTJtEsBNCmX3d3fcxWmfCLyum3LGQBgwkE7p/C5TAm+7dc7c+WKTxPxRPhpw7xWmLSVvJXD3vB8hDguQ9ztxOwH1Hy/QiRUMAHC12rwjC8NiXdM2sUvPerN1ysVLmXZAWOEOCNeYidvzHm3ZmKt+BRkDP/ADP4BPfOIT+NCHPoSPfexj0HWyxOXLl1/WGFCwOPorAE9lP9R8wIAtVqOEtUWqEwtmTdtBoz92H+rnnotMspX2zAWoolgOXsEzAKHzsZlV82lk8iT5WyqseV8akQ7sM6b6u1yTK2kDiqNWOseU5ZAigAaCEwmYsSr2bnuHO8sAclicc6vvbW/w3xqMuShSWH+bO4N1wJ1RXoUxEKF4ymypmoOeIQH4cnHZo5gamWTH0lQTMgbYqEJW1ZcELOyS0DOUMSALDrkAYXgrQXj/KnH8+41+NEVOCJLFCud8SZ74Ae4le5uOyluvrEPX6DPKgYHw6nvYnjOGzi/TyF7hzhFhOegGUFqIfb9dYOBU/q6UlwgLyBqRYFay58gkm40OjU2yXZZDXGAo/t1pe8iDifXKOhl3CgR8HgMGdmfJd6DC6oqtvgvPNNvzTDET6pOuTZNpLX0cydcL8dNcPDKij1BG+ZcaFx5cx3l3hM7QhKaFB3Cc4ebTclgtryKtp2MZA2HtaalaDe0aAYL7cVOPOsfk+dN0oLKM/Qt3koLMFipZt5XA14sNIFTo0QVuwwO4hUqCoFMAQ1nAF5a8z5Wy0Gl17qwTPGsjnXPvRCFQZndQIZMKVabmrQQq1ShRMDGCLTa8dRNwHJwXarhIrXr26zFJn3Crb2IY05+eqJVABAY43T8evBWBAbZ3Mu6UaSO4scfIdKcFhfkOtu5pexifZPNCyhKOO3bkuuTv6O9DAS/GJOFWXUNuik4zou+T2JLF4kO/JWpDchz+Pe458SyHsILSbnsXDhyUM2VMGbRoJJw1ZwyE+DsjpfNWACXqNX1f6onAjCGP+QLPtYRxFNcKSP4u+l5hd1T+IXdUYStDigrrIXR/IJr1wZ6TKT2Lqu149hzno8XfJ2zigceov7NL8zilIUqYDgzb85GvlcADeEl8R9SYWmaRI8X9JoDOz3UJy4GBt7kH3RzKcZzY5P2wcwjTMZG1HSxYJm/Zi2vHBVwwQslHA9x/3KMtG19RxgAAvPrVr8bb3/52lEpur8w3f/M342u/9msnWe4lZSoaA0rVKJ+I37lYjRKSEhHRzAhqxyftgRftigAG4lBwIEgnle/ZC2ZYtsNfiDC6v6ZpKJcI5WYmu+L9S+Z8O8eA6btYWBtBiL4A2bNbgYndc8VlOeyHMAZYArXV2nLX9jvLiOo7e+FrhbR0Ni/goqj9w2NYZ2eArvM+J26O41EVB0TF0wjHU81zYIDRtriFUGs7Q5ODGXHVqFhgoOkFM6IAB/Zcj7RjAE6IAKG8Uuk4Dn9Ow/pXFyuEhja2nOhEigMwa8hevwY7lUJ11MVlhAerTGhzr+MbwQkItPydgPK8ynsYJebEjT/TK4CeivVJnjF6bcnvlUrz1qAwMa4wmiqgyDayxi6QVl0V6K9qAVygPQYQRtJ5gYHb9M9VQYdIE1kOdM+zIQE4ADwyR3Qq7FQdY1NCJw0DBpQAZ4VnA/AIDzK/MVPMhvYJs++vTSmwIgjj3bOPMRAxNYZZZ52cB27fit4zW7uyAkc3eBU5LOicKWWhmSSB2uvsYWz72FuVFfBWk67LVoiaGsNMWfV63HeBtOqa0EYm/w6NlM6/X/a9BM5awjg6FJhXYYkDbyVIIj5YXY1kdTHg+nhhg4Mw+5394FlzEMZN/Ni9WSukQ5+7tSSMAYHZFTUGkZkMGOBtBJV16XvIWkwMXcNUQQ4MV/Np9SRbAI3imFeA+34P+oTu7BntBgCVFXes7jNPAyAAzMiKBmAStSEJAsL3zenIdcW/85+FOK1H8/mPsTCuOQzMiFpbavR9OQDxCZF3bMVd1z/5i5tEvPQ0hplBfq6cQQEA45MTWKd1N+ajez5LE2AgSnU+ChTmdyOfauIm2XGMAfJzE7Sa0O9wWCR37FQhHdpy6S/cMRDmsHuIkUVZIAygax3w6vt+wy0KhlmisbKUueNoOp7rktiNtXtlr18DDANWowHz6Ign9o3eGP1REPi736LFIEcjyTf1eVHMK2bL1QQ+GuBnfWtAhCmjnmm/JQYGLMvCr/3ar+G7vuu78OSTT+Ibv/EbPf+9bNGmUkFTGrXiS7LZutOFjKcfmwUM54NztEYtjygLBwZu3YJTlAf25LMq1agErQR0z2fdIQczZiMqrIwxUE4tef+iMA0Y9OX3sQbiJhIAbn959J6DLIcwxWummtoYNjBbIRewNDgMCe7dMVgRDo06h9LOHQBA9spl6Hnf53vnwJjS7mjQxUAHVcaAR8tBWMcvxsUcazlnhDp49jNbAxPdYYS6uI8xEDUGca2yBg0aTPShpTrYS9BK0OiNY4MhI6XzYHk3qiIliIfp2Sza8+S7vdoI6RGHS51mLSdSQc1xj/e+A95qVHQAoEAX9439ixuDuFJeQUpLQdPHOO2dyvULJMmfVyBQAcyIeg9bB4Rlk8oCxbnYcVXi37UHJu41tgD4z9oN3hzbJi1VAJ7Ox1eNxDaFSJNVKiO+v4fmNuA4KWi6iVtnEgHCWGBAxUfH7LnhMgZUvj8/BTZ03Glr36M8v6sQdJqXCWU7vxUjbCwID9Y7IwxNG5oWXoFJ6RpmcnNw7DQsx8J+28c6MzJAmQTcos9TqUbF0Um5se8wUwbyU7E6AIAwtsoHDARHywqMgYhRhXxdVYFYwCc+SAFWydqsKt1euwLHrMDQsvKzlvgOnrxHAF3s/j3rjkJ7soN7XpdOuvEbA6v2BI0ZruVQ2ZQySkSAVdaSBXiT7NhqpaT9YU7B9zc7RWT0jHe0GwBkS8gukt9reOs2HNPkvqASIRDIfidAoQ2J6TGVFnDY1Tz/NmrP/uSdC2pWNgM+TwWAEddWmnjDe8hnlfd80h5iKjvFp1HttgV/7Xum+yOLF1Ci2XPh4C0DrnnMF9CfCF93QVjXf39zselyMF5ywduoNmI3p4g1+h02M+SODWOhAW7cd94dYWhamMnNoJguwnZs7LXpu1GcI1o4cHgOwH10CCgMCMxbJTCD/CyruIixQ9gzjBGsZ7PIXr0KgHw/lZx7F8rW5oCXXvCsfajI6AUUGQO2xfXAnqMTK76i4wp/+Id/GD/8wz8My7LwyCOP4PHHH/f897JFW5KqXyTSKQgtiev6nY44bmynteOhwGY2NqAXCnAGA4waNGDr1UklQ7pnFURSHcxwqbXZUGotAGhpkqxmKDXN/QstNFDe44yBKKTTZQyEirX59jy2bP7C+4WtCukCFgrE4RWKF3RtyXcY0iesVI2izmHphDgYub4ADexLi0CaOhMFRHKxmoPGGAMVH2OgJmcMRFWMmJVz7szpyP4ov8ZARNCZTWVJ/zJIJVveSiDfM6tGhY3YYrZaYxWpCGDAt+fDBXJubEyXzNh30JdN2jCybvVdQO5ZtTmd0kL7CAFFijtPorxj/8J8UlpPY6VEPmvqJzzA8Rh7DwWArjWIpwOLPzeaIcXewxVA12PHVQEk2M3S6txdGrCGTTUZbW/D7vWg5XJ4JlWLXVuJlm8OSdsGQFoJYii7AJBNp6GbJDh95uSu5JeKFj1TZVBEmtCGFDciEwhWFMVqHwDih7QUYJue3ve4XlAAyNwg/m3qYCt6z8J7yNZdKOd4dVZmi5U8r2RLKe4S/xGnAUPWVWCiAQIAs4aBAPxFAcN+qioHBsrh406PmuT7jgYG3ApaZOuUOXS/w+qaOzlA8q6wRMa+eh2AhpK+5NkzN4nvYPdK1HNXzad5a4TU/4smCibGTA4A3OqcGNx7pvVUyN2DcZdUySEUUGIqc0otjICnKBFH9wdcVtZpa4w1muT5zzqzugzdsOGMRhjdvx/bnsZMyUeLe1YEFV2Gm/ddYe09G5WNQPWdrTtbCgdgEu150AIGDQDAbUq7VvH9rLAVOZmAvodsD7m0LhWX8+9Z9mwENKWoX2Jj/1TaTPpjK3B/c8CLTTWho0NFbZIosFIcKxhrdM+nOonlo3x/rZBGhuYFJ60hNE0LthNoWqCl+MvqowEOsvbpGFD/OFmmhTN49jmPfoEs1nWnmkzTtSm4EzPyGxBaCVQYA7QF2tFSOMYUjRvDQTS/JQYGfuu3fgu/8zu/g9/+7d/GL/zCL+Df/Jt/4/nvZYs2tQAuJrgfD4jCPyBU/cIraOLLJLYpaLqOLHuo7+4BGTab14voJ2klqHdG4SqwvvYHlYsDAIYaCUSc8VzwL0OAgTjhInHPvZGFTlgl2wcMHDUHsB3Szy2jBLNLIpUlCbbUWcYwBlZCqKQAEVsrZFK40iDfkYrwINl3PBtBZAwEgIGQPuG4vlhmy3EVqVHXrZD7nukwpJPtUcvU5fQq9vt3Tzxjg45jKuTMWKtI5GQCH8vh/hT535nDrdB/woOOdMxZiyN42Ptdko/Y8q+t1B7DgYH4atQlYWShtDIgaY9h1aWocVXintVYDpQhpaAxoGkaf8fZRALG6vHvmQVd+tVrsLQUdA3SsZ7unhWCTjbBI5UFirNCEB793GUdAi6+cH4v+JdcvPSAiEiCiMs1+2O6r/DvMKoa5TEOOm/EskmYic9dgN6eMtxESng+uGBihO8oP/YI2fvFIexeFHPHfQ/3YvQFmC0oCxC6e1YBM0Rhq8jpIKLwoKgDkA9PHBYr5Oce+RkD1ShggProiPebiF4RwdyzKLE2lrwbeQwzNf5Z/3doD4cY3qGsNnpHpayQsxbvQ1/1Pa7KpSxAKBUfjI8NRD/qYWek82SsLsDPRKVtChDiO2XGwJqS7xB9klQUD0SAMDtF2wmee04JrCRrq4KKgqaKgtA2+w66I8vDJvQ81754SUVfRvx7ZTAjP4W9bip27eliBrpGHtWz7iik993rO1zwPbydh/29+HnROGOAxuwsYb03pi0bEc9zXlC79/t/7q9nHya6Q7YJtI/457KGHqpNAogtuSqMAXLW+w4BM6J8tHh/n0QJEPpaAvnUsIg4OlErgY/l4K/qc+Y1m0wQUdnn4CItajHfwfx/VHzOY+gEex4VF2GDtKBFgWh+SwwMZDIZXKXUiZctmZF54fGVLnaxtMNUYNnlnC4AeYJwRlXQPJMJfC+aK0D4fGgvqAqYMUNVYC3bCVeBDSQk8VWB3riHgUNaCYa0d85jVXm/Ph9HF+EsCxmDV7JDnZpvz7x3tZaXvmjsrK0UAW4maiWICDo1TcNiJYerzQhgwFfFHlu2UhC+UMlwMb9AK0EtSJ0E1AAYwKXAhuoMsLPIVoB8DUB0KwHgJnl6po7DxiAISOWngDQVLhKqUXHjFd095z37CJhtu/um5/NciaDKha07oeuSSxrQ0qTSFMrOEAA6leQd8M4VDjXfnlWqUV4BQtkzHWTBqACKgGIA5wcVY8ZV8bVLWQAm6gNSuWd9imQt9z1kQdf4Mpn1PRsxrkp9z4Lv0DRlILRihFRWATJJQU97xEvZuhlDj0wqlai15sjVcqitQYUtBghCUa0ep3lGjZYVq1GRFNhLKzjPlqE7DgY3b4VvQGQMxOgL8LWFkYVSYEByH6r4aOZXBmMbrX4ExV0UHmy4VNKoxGFJaFMwbRN7HXLWnDEgARXjpsYARF2cvf+RFSmhV/+kTe55UbuI2fCFFwDLQmp6GvOXyJ7MIUkGAs81A42E0aEqOgCA+z1Ix9UyEwop/fwy2gPynagKdTqOA9uxOVWc+2t/wqoI/ClT3Onz4VRWElXfR5aNxYKcMYDqKnICMKAKVipp1wBeTRUF3yG2IYm+1MM68vkOVd+v3jolMqTi107pGi8KhYIwIgvGtpV9fxTg7GEMDFrAgIy9u0mV8mPXDmlR5slq9ZL7LjZ2PDF0lE9yx36rJKzkO7w/Jr4gyo8CYmV/SPcoO2v3+fAKeCu0EiRIsk8oy8GfvOceFkTc4bIrZHEjZ8LUrnjWVmMMkL+rd4YYmXbo58i65Jw7dMpGXOHOb4mBgR/90R/FBz7wgfg52S9bwC66ZF54XDWqkotRgfUFnED0yBnuuJrbAeTXM5lAUvVTrUbFqsCOhJ5p6jT5yLiIdVmlzzaLaHQkFOoQWv6xgtALoIDe84SEjf1jgWF0FbtHaeLJGAMUNYxxlpvpMeb7DQACeixaI8jMcBxCQw8bkwYAqUwDmmYBjuGOz2PGxbj6HjEulaBT/J1C0U7fnj0jtsJmQtMkz8jWYdpO8LkTW00k1fe4oDNWVKd7ClhDqoRO3p0vpOdgQ4N+dgrz7Ez+7wBMT7WgaQ5yqQJmcjPev5Q8H6pJtlK/n083QyU4ZBeynq3LfZJkzyqBIfn7BGCGb89xVaP5cg565hwObBQM31kL4qWDZ8n4rtbaZcV1EwIDCfY8myOfP+xJNAZ0PVB9F58NlWrUWXcI0woJLNoHABzCcijMKoG34tr3G7swHRO5VA7zBaH1yycEKoIZ1Xx4a8xcOYu7NfJuXXzx6fANCBoDKr36AAmWOGMgajIB3bPjOEqMgZwwyjCyh1XweQcKqtSAqDHQJwrXtolsKouFIqlmyQBcV9gqem1XJFaNuSMm7/7njgkP5h56CMu0qt/pkCJGIFmVjA5VBZwXqwrVd6GQcmKS3zGfls8LZ8aTbNNGsz/GSe8EfbPvjuAEJJVseh6xIJpi9Z2u284uxmriAOS5Y+9SNU32GA0MPO9W9WMZA9TfddTADLO8wkc1K1f26drNYRMXQwKar5fXAwCdsu+vKNyFAPcdjsDMiF/bjXWlrQTlZc/oUBXRcc+6vj2bFxcwDwhgm3vwQQ/LYbdN3r1JYoPGoIHWqAWAMryE8X+qzEpX4V+FMUCe6TvDGoD4hHXBV9mPBGGaexy4nYoQ8AZcv3LSHka3Tgl7ZiyHJV/sn3vgAUDTYB4fwzw7C51M0Bv3cNwj7OdLsw/TtfcxGFuceRUVR88UM8gYOhxHXZ/kIk3u4Dg/6rfEwMDHPvYx/MZv/AauXLmCb/3Wb8W3fdu3ef572cJNVKWOqkZ5ezYlD4Av4ASiq378ZWpvBwLa3EO0leD55+GUg+P/VKtRQEyAz9bMlIFc1fO7RQWdzAE4oxn55c+dgrtnEcyIu6S5zkAYquw7aw5mxCSrZyOqNtqUJVFCwCmOwuKgQ3QA9zAVFOrNLyMlTAYJ2zNzUAuVaDrRgI5Is4YzGIx9iYMneHOT7GPVoJPTq8IYA666v7huLh3+3LHnOp0jCbiUjSARIIz7DpktcHp0GJuErlleAlJp9EYm6nYK+yVShRw893zo2qUSQfunMyvBZE4Cdp0q9q8qCfkJFFVVgUCXMRDSShABDKgGQ6dRl3RY+4PCeYi6GZ6zLs4CqSwcx+HAwMniJtmT4jl3qBJ/9J6ZDoxLJ42y1SKdNDMKjmEV12M+9TRGI4LZTDGDlK5xCmz0nomWgxscqjEGdtvEX69V1twRnICkuuruOQrMyBop7NHxka2nn5V/yBFGbNXWYyeO8D2Xs9EaA4yWT99DIoJFRA0XYmZCc6pqZEuPIOKnID4l/v1hc4BtdtZl4awZuC9U34+UwVt5QBu654jkXaxuMhCl1SLAQDQ7gzzTLrD/In20uOfqGo4py2FeAmaIJoI7om7GSnmFjOD07DkZY0DJRwuFlGOdgFe1QjpSE0dcOw8C7MvaNjgw8PzzOKHfdSzwpyKIDfCzbtJKZTqloRYB/AFicYacBzvrhcICCumC99mwbaUWBfHvY8EMCgyMy6voU4auCuDM9ixNVn3tUypTJTzr+s6ZCeOmN9aRKpddsLK6JoxuVPPR4trs+VgoLCBv5D2xR1JQ+LQTk2QL7aLP3A4hSAABAABJREFU9ZkgXhzo4I3P5XoO7vOhwugCqEAoHf1a76o9H/fHxH/5wVu9WERmk+xr8NzzrsaAD2BljKNatobqzAN0z3ueWDcKJNc0TX30N/VJxxrxHV9xxkCtVsPb3/52fP3Xfz1mZ2dRrVY9/32l7d/9u3+Hzc1N5HI5vPa1r8WnPvWpyM//7u/+Lm7cuIFcLodHH30Uf/zHf+z5e8dx8OM//uNYWlpCPp/Hk08+idu3vQrI5+fnePe7341KpYJarYbv+Z7vQafTSbz3eoeOWFEYGxFZkYoABmQvsfgyMfV/9vns5cvQMhnYnQ7GZo2uL6cDR12k4s8+lV3SYpXSz3KIOA/mAOzRrPwijUhIsgpgxkIUqjzscGEhFxiIpqGzsz7u7QEgrSNjf3WOtT+M2pwOZtkOD+DC2Aj8Z5xTdd6lTfkHfLRr1ar+yYAEZfZoVq6oLREgdMcgRj/TXPU6LOj0MQbE5D3suWMXsmPUAdjRQo8NERhgF54iaBQW3AtVSsB9hramKeuBBscyy+RIslrUF4N/GckYULv8Q6vCgyYwJBUCVFaUJjQA7nOtpc9x1O6G77l7yvUcVFkOjGlk2g4a/bH8Q4LPE8dVqVAzQ3UzNA2ormDcTcFud4B0GrsV8n3E+ehS1kA+7Srxy/fsbelRBUqYnkPXPsXYkpzHhBU0Xde4/w/ds4RtBMQHh7xqNJC0EXj27O0TVlFKvli5BAAY3wwB2voXwhSWVeVWIcIYIMDAaf8U3bHvufadM/N1s6VsbILGdQaUaPnrLmMgjlpL/ehxa4D7skkbvur72LJ54hDbOkXXjpymINwt7L6SrSsCA5U8eVfYWZ/0TtAb+/Qiwqrvqj5aUZ9EZdoBM3F6gHzcaTjYpbKuEsshU8bxkOw1rqovrp2i6vqe0W50z9mKSbRAOx2Ye2TvsUl2SbH6zgQCKZgRJxBI9uxNhj0TCQACvGs6YI+B7kliWr5Mid9j9B5vUTCDtDdEx43suzgRWgnY5C9u/PnYERi9auy5i97YQxcPCg8yMGMNY8vx7CnMZLFuQChWeKZVY47ZkttGHKlPQkE/J1PG3XZKaW1+r1Bfw3RrPP5a2LNqrJtOuRphx7LinWff5Jm+RcEMWXwuMq+XQ/yoR7yU5QDDJk5OT+me87E5lggMR5pPmPIrzhj4j//xP0b+95W03/7t38b73vc+/MRP/AQ+97nP4fHHH8eb3vQmnJycSD//8Y9/HO9617vwPd/zPfj85z+Pt73tbXjb296GZ555hn/mX//rf41f/MVfxC//8i/jk5/8JIrFIt70pjdhMHAP/t3vfjeeffZZ/Nmf/Rn+8A//EH/1V3+F7/u+70u8f9XKDhCDKvsSP/K5cErYankVuqajO+4ikyUvE7uUtHSazEQFMGAMcYmAmMqek7IcVMR6XGBgDufdUbC3RjI2yE381MEMaVLJLudsFchV6J5ZYCE/j+XSMgzdwMgeIp1twXEk4E6mCOSZKik5l7POEKbtQNcUHPwxOZOdmXX5B/zq/oo0VUantUez8t4riQChO5VAjaYaOmolMJEgPjBcLpKzdjQTmtGUJ/BSxkD0d8iMXUr1TkiSLSgwi+ue0skEUcCAkyaXQdqeD/5lFDAQk6DNFLMeYaTgnuma+SkgW+JJQ1w1ajY/i7SWg6Y52PGNrOTrpekEEF7JVktYM4bOW6ukvsNxPD5PdVwV+9lMN4OL4YlWXcXggqD0uWvXcDIg33NcwCIKI4VWpASf1x2a6NK5xnG+dLO2BMfKAHCw24kfWagawImfCa38TcAmEddtjongYlA3w1t9V1GGZzbYJCMLU9v3YY8kzzQD6IpzQDrPk0SlapSdByzCugpWV6nv6F8Aw47SBBZmrrhVyLNhjWnbBjwaA8sxAe08rXSNLQcvnNOZ2P7n2hfcq7SRAW7QGdmvL0my/efhjMcY3roFgDASuVK3XUDJIPeoZ7QbIEzb2IVtO4L4oFolO5oxIBMejH/uxERKCgz4Wi9PFNk1SlMJhELKSUd9z+x96vUKwdFudD1NB7JVAjgWtu8o7dkFnCPEpQWWwyFmPfuJMr9ei2ciAQCk0u6kHiFhVWUM9McR4tIAP+szY0F5z2L1vZAuYD5P7nGm8A/AU5Rgd0RcbCcq8Yv3SgAYoHdwJ0eA7KlCOnICCyAAXRItB5luhhhHR5khJtmRDCnaFlxZxch0lNZ2izNkz5VMBdO5ac/eRd9xHAFW+k0UiQ21URfoE42zpzvEd8niaBEYCFvXc9bZMpCrAQBax1tkPwp7Xo4rsDGjPukenbIhm+wVZYmBAWanp6f42Mc+ho997GM4pYjHV9p+/ud/Ht/7vd+L9773vXjooYfwy7/8yygUCvjQhz4k/fwHPvABvPnNb8Y/+Sf/BA8++CD+1b/6V3jiiSfwS7/0SwAIW+AXfuEX8M//+T/HW9/6Vjz22GP48Ic/jIODA3zkIx8BADz//PN46qmn8Ku/+qt47Wtfi6/7uq/Dv/23/xa/9Vu/hYODg0T7T8YYoPQcZWAgHJHMpDJYKhLHynrfRRVY/lAfUBbEBJVK8TNyMCMZy4EZC9Y0OsIrEITLxgaxoEJhz5yKKAUzvL3YQDwN3dANPipoutqi/0aWZHuDe+ZE5srRoxsBoLJLxpjdLC8H/1LCclBFUUV2RiRjgJ7L0LRCVan9JiKdUvTezxhQCMJTesoVIMzW5Q6ejQ0SnmnVVoKZEgnC7bAkO2RkaGudCMswlVqZDUDATFZF8+6ZPhvC6FDVapQojCSt7vjOmSs8xwQsmqZF975LRoeqUhHFny/d86AJjKhvEoS4lKpRlSz0DLmfAskqAFTXXGDg4YeUFa9j9wxIE5JCJoViRG8zQC5x1vu+3ZSN0ZNX35OBtzEsh+qqMptEXJfdL57pD54973p+vkoAl1tdQTudh26ZGPrYfJ4919bhOI5y+wPz/SYVIAycda7C297Q3FUGHMhnYoLO1gERkExlgOK8wLyKr3Sx7+IeZQxEsTOOFNvIABe8jRTkEvxHmB8d3r0LZzyGXi4jvbZGP0P2PJUhyXTUZIKz7gim7UDTIJ38I5qS8JkQL7kjBdXjmeO2wBgoi4wBt6XHsh0OWKrqGkkLHXzPEjBDZc/0PE47IWr5dHRoborcZ9N0DKhKG5KyuHSmjMMBWU/Jj/p8UjQ7Y1cAnKPPo5AxUKK+VkUL5ojSrmcnYPQyDZ6wyQT8Xol5NjRNk45wFDU7APD38CK9SPcT/2zI1g1MkBHew9MkcbRKqwk9536B5CJTCq0xMkYQey44CMMZuB00L+qef6eydnS7F2U5ZMvY6ZE4QRZH85bs557jf3/eHXnE4xng5WdnDOho67j4HBA0ZqJ0YADu824NyP31FWcMdLtdfPd3fzeWlpbwhje8AW94wxuwvLyM7/me70EvapzQi7TRaITPfvazePLJJ/mf6bqOJ598Ep/4xCek/+YTn/iE5/MA8KY3vYl//v79+zg6OvJ8plqt4rWvfS3/zCc+8QnUajW8+tWv5p958sknoes6PvnJT0p/7nA4RKvV8vwHwL04Er3E8Ul2d2iiF1ONYg/j6WA/oALLgYGtE3d9NjYoQaAcJpwi27PjuGJxUS8xe/mn0it0bd8LIY4NYn01ijRE8TPSwEICZrjzlcPXZo6rUDr37Mdjvj5yFmTFvcBWu430EXFWX8hKqs2c5eAGtSqKp4Ar9OiM5uRaAD5aPvueZarUfmM/uz+20BpI0PuQ6nvcntmFpmfq0RMgaFXRsh1lam1K12LeQ3/7A/n55mVS4Rzv7MBqtYL/DkDLJKDioDcT/MtcLTA6VLUaBcT0g/r2nCR5Xy2Ssz4L7X33Jqyu7on6niNbpwozQKaQzCeVc5wxIAcGBMbAQw8pK16Lew5nObjVd9XKO/uMPSLPhbwfO2QUlkpFMW5kocDcYYG6Sm8z84e2QUAYz/QHwH02Bk1g0OL+Tuk7rOZwlwZ/QxnYJiSrzb5LwY07j0reQC6tc3BOftYusDhJNUqpDUnXeXAa1xtL1iaf2etIRnCyNemeGWNBJej0C30FzPNMr7qsLt/aTFsl9+CDnLHH1matUzJRPABAa5+f2Uwxi3QMSM7WPUuYZKuAO+K7EhgLCbgJSesAZ+0ubIfgo3HMjKlCBgYFaeoKbKNJgb+o3nemM7B2Rp6huPeQiEtHsLoAKcvhxQADsgkyTmNXuUVN/Ez46O8+aX8DsGMnYTl4i2DRonjJ9uw/D6vTwWibrOsyBmjcSJXykzBgQqc/AJ649FhRfwKQCxsGjPrpVnbRs5/oPXtbCQAEAS+BgWs1yHuThNUljRuZUZbDuETe9TAdgBwVAR/v7qI07vM2Q9GXBp5r+nxY9Fz8oobSPUdMPOA2bAODBgDg6TaJI7/iwMD73vc+fPSjH8V//+//HY1GA41GA//tv/03fPSjH8WP/uiPJl1O2er1OizLwsLCgufPFxYWcHR0JP03R0dHkZ9n/xv3mfl5bwJmGAamp6dDf+7P/MzPeHQX1ihqXk/gLENp+b7LmXwmvholvkx+x8PRrtv3CR4gCBclDWilewYCCclFbxzbG9UYNNAYNsjaefJiyvvI5dRalXOOVFSNADOiElbmZJkonsqejzhtK/oFZlXo43wNW2Y6SOvzVYQBl3YUFRwOrSEOOiRZtUezOIwEM3Y8e44bsQX4lLr9jtgcuTPfq95WgljatTBGT3rONbeqA9vCWXcIi7ZssH7rKIvUGfAxBti7UluYRXqFPK+D528G/ll33EXbJKBRs1UJruupvu8mqkYByZg7SapRrPe9Yx/KPyCOaBLXVmEMRLZO+dT9EyTv5bwDPU10PFZLwVYCp7yMwbkADCTwHXPCyKqAiX3vlWVl4UH2s1myeufifvADfo2BREE4ezbCgnsxiVJ7BwEySSebtqAZ5KwDIIxAnRTFuFTB2zt0MoG0PUcAM5gPUKlGaZqGhUoOzpBOJogSxWvsxI5PFS12Traw5/7IncCich5LlRygmbgYESA/cNbC8yEKz8auK4AZUhGxbp1MYYEGVFZCWwkCtGfhM4ZFYqlQYEB4NuJ0awDyPadT5O5RaelRpUcDbqvZcasrH8FZWiBz3x0LF0fk+5wpxjP+dBFwDktYPWMhyZ4TJdmtgTxZBYDKCgcGrjb2kdG1SNEzd+1gYukxyajCuKo+4K2+244dTFYBHheMznc5AKRyHrNx58z2nC5iv6/OcvADrFzHS2QdUVDRaezgvDtJ7E/+DQNDjaUlGFOEGs6ejz2qlJ9kXfYOOI7Di0GBVoJRB/32Bf13CRJ4hZaeeoqBGepgZXfktoNEgTB6a4+uHX8eSq0EdM9d2rIRpgOQqtV4zDe8eSugBeA4Du637nv2z1qRUu19up94UHgp7l4BeDHJzlZxbpLPq5yHaImBgd///d/Hr/3ar+Fv/+2/jUqlgkqlgre85S344Ac/iN/7vd9Lutz/I+3HfuzH0Gw2+X+7u0wkSk0wCxAqaP7LrndGEndonEavkrx7RxZ6E/js9etAKgXr4gKmTkGSSejAiRISsm5UbxRTXV4oLGCxTBKoU1lA60tIkjAGOF2wJaG4+/asAmYA7iVhp0jgJqe4e4EBFeo84AZd92qrnoTR3XOw/cFlDIQ7nt3WLhw4yOoFOFZR7nh84oOHCSpoQIRSd2sffERakQTpqowB9lzrmbo8eS8vkeDNNoH2Eb/IZ0vxARzgpZN6zHGEqp+X5TBfznqoZX5jLBjbLKLeCklePNTaoXI1iv18QI25k6QadWOWtEiYqWMPRY6b0Os3NN1kR0U0y99n6t1zSPuDwp67NgFvHSsP2ywE/t60yrCGKUADMtevJwrCI8eOsT3TvvckgEMhYyDjED98l9LFPcYqlbT6nohNEhUo+1gOSdbVNA0zNTKCM58qYSo7Jdl3kFqrBji7jAFGqfWY8B4m8f3sc9GTCdwK2hGjzieovoczBgQRP/qZQiaFSi66zQQglSU97Y7gnM372pE8jAEXvI2zuXIWGlXqluuT0HMuL8JJpUM1Fzgw8LALDLDzsIYh7Azm79pHOG2QtiEVCjOZ4BRx1uIzLbBglMQH6Z73OgcwHTIW0jOCU0/xGKxzSp4dledZ/Fz8mGT1EXpkXTd5DwUGqqvI1saArqE66uJ6qh8L7Hv2HNeGJJxzsj0PcNI7wcAaeMdC0j0DwPicPIPlnIFcOhr4E/ccCmYw31Fbc7UcVMBbARR2HEfetkF9h9Pcg03HlDOh3cg9cxFv8mywYhAH2sZ9oEtiy/vjGeU9zwtJdndo8hGcKS2FFTaRLFMgzDwAxQEtnCYoRkSLgJLng7VsxGk8AUAxa/Cxouz9jgIGcj1SYFJR4Y/10QD3HY30Av034XsWYz4XdCDAbGPYQHvUBiAwvOie8z1SaFlSAZyVwAxyziPKcpgqpJXeFdESAwO9Xi9QYQeA+fn5r2grwezsLFKpFI6Pjz1/fnx8jMXFRem/WVxcjPw8+9+4z/jFDU3TxPn5eejPzWazHDRh/wHJGAOhKrDM+ZYWiAIxoBTMipMJ/LQfPZtF9upVAMCg56XlJ9MYcC8OT5Jt2xzFCiYk4euyBGqjshEt2OOj5auOqwJcJzw0bbT6Poq7b9yYS3HMRAq9MMfVp+P/kmgMxDk0FnQdUoG7gBaAL/EzLZufWZSwFR8RlF8DoMk1Btg5DxrAsM3bDVSCTkBwxIE9C2CGTs5VtTrnAgNnOJKBO0LwhubuBIlDCBI+aJCpEmzf8PZN8/ac54OJjKjl0BuFCCOJFTT6s1WqUYAic4exHBL4pIcoMKBn6vJAS9gz01NJpzTOFInec0Ql2wcMnHbUK9n7XfJvyVST4NqDQwqOVi30NIOP6UxSnVOZHJMkUAaAKTqHnNHFPZZ1R75ajT2hRe1FUmt75wBTi6+sJKK/AkC53AAAzGQlIzgBTyX7OBFjIIs7NdqPeesWHMsHSgnBverEEXdtV89hq7kV9B8eMEN9z8wnnnVHGJoSEI2PZ133tHqpJGhL1Vz4CE7A8x66+jLx1ah0SucJjxQYFp7pZn+MoaRlw7EsDG7eBOBlDLAz63UJYBRIVgtkdCjgoEt7btW/w4gku1t3Cynl5WSMAZagDYgPWa+se0dwAhwMHda3Pf8mziKLKIC0+p6sjWwoH+1G19RTgDZbBAA82jtS2nNski3ds7ofPeuOcJcypFbLqzB0ASTzxXiqfjSJ2Goithj9zMgicSNradxubbs+hFWxhy2U0YsdUx7cM9mPqy/woHfP6SJ2eln6b+L3XMoaKNI2Ys8IzpIwglPY97JWR8aIHqHHLInWx4457fk3cTbvaycQQRj/WdfGJFdTAf5iWV2AmwfRlo2oeFSM+Vgcf0C1ABhgtFRcQs6ga9BnujIm+acKmME+U+8MI1qnyDkzYUrVcxYtMTDwute9Dj/xEz/hUe3v9/v4qZ/6Kbzuda9LvAFVy2QyeNWrXoW/+Iu/4H9m2zb+4i/+IvTnvu51r/N8HgD+7M/+jH/+0qVLWFxc9Hym1Wrhk5/8JP/M6173OjQaDXz2s5/ln/nLv/xL2LaN1772tYl+h9MEiGSoCqxM3V8hyWaOa7e9i9lS2rMfQHiom3nPz0kS0HJn6U+yeyIFcdmzrorw4EZlI0CD8ljo2KD4c86lU9zxBS4PX/VdNehkPURt8wTQzBC1fK8onmrCyoCB9hpJ0gLjsHyJX71Dnh9D1zATUbllZ71eYYBDP/ghjxhXsqCTfC5H1/adh4+SLwqIxZ2HOEavNxqGJNlCn3AC0Ej8+YELj+25MEtQdvgZA65Krd/YWacorTbumU5C6QaAuchKthfsYr+XyvvNQRijg62Ls+g9s3VL8ZNBgJiE1d9KkMAniSCMLKAd7JD+0lxtiHqd/N8q46rEn//l3jMALOTJv2uOzoKj3QD+/bVP7rvVKJVxZqzPVKqpwlgO80A65wLOiu9KJk/aY0qyEZwAf7/Nix3OJlF5phcqORyUZtFPZeAMBhjd97VXiOJyvCKstufFShb2aBoaNPTMHur9uvcDvJVgN1ErAdFlIOGVdByWhzHQV14XIMyv0BGcdE0AQOcYpw2icaIK3i5FVaQkLAd/NWq0vQ2n14OWz/PZ3mTP5Pu4oK1TzWETDdoHC4AAwpQVMqbjeJP6aHk7IN1zeRF9O4U21bdRAR34pA2TJM4BkUeAPx82PRuVmIPsOcJ32LarFSRU35O0ZHWGJuZy5DwDozjpnlMz5Pm81gzRjAlZOx4YSJZkTxczSOkaHAd4rk6ElcMENdMdslflu5DtWUFTJQmY4Y8b10pr0DXd60OE3vcVra5M5/bfhWGjClFbTzSxgnzOrZJ7xueJRv3HsnamNKZc3HNoK4Ft8XbR20wpX3HPXK+F3kes4t4etXmrsR/MUClGuCNlI4AB1rLBxv5FxLqykYVs7YDwIMD93ZzFxhXG+47pQgaZlA7HiQe7LgwKZiScSABMAAx84AMfwN/8zd9gdXUVb3zjG/HGN74Ra2tr+PjHP44PfOADiTeQxN73vvfhgx/8IP7zf/7PeP755/H93//96Ha7eO973wsAeM973oMf+7Ef45//4R/+YTz11FP4uZ/7Ody8eRM/+ZM/ic985jP4wR/8QQCEhvYjP/Ij+Omf/mn8wR/8AZ5++mm85z3vwfLyMt72trcBAB588EG8+c1vxvd+7/fiU5/6FP7mb/4GP/iDP4h3vvOdWF6WqMJH2DBBNSpUBVam7q9Q9VsqLiGtpzGyR8gXSaVTZCMw8YzBKUWhaG/zWQLHE5pk88t5iYyeEf4+as+iOm00Y8A7Nih58idxahKWg5u8R687k5tBMV2EAwd6+ixaY6B9AFim0igsu9fD6B4Jiq0r1wEA+351Ul/iJ/aYRqHV7KyvT5OZ4Y3eGP2RpNLFkuzGLg7YiC0F0RS2B0ASdEr0J1QFxGbzsygYBWiaAz1zHj2ysLEzQUUxBJDyATCAdzIIuyRG9+7D9jGpGBOGJVBSyr9QIUnCgAHcpCjwrlhjoH1I1/cmrCoBbSlTQsomgf1NGsB59ywoGjNgQPGcmR+oJ6q+x6/tAgMzUt8xuEXGdeWmxmgdk3crKR1Y2t4UEHlMVn1fqszANoue38Fj9Cx6J1sACCigVo1yW9TiWqeSsMUAAFR4kLVBhO2ZVVczKbUAbq6cha3puFcl960HbBOnsAiMgSStBICBHEJ0BmpunzADM1QSeE3TuJCgdLSU4D+YQKBqALdczXFgQDqCszANGORn2/QOW1IQNQREAULZnt3ng6li+0FhXt28cQNaygUMuPBZk7QGAuHtBKxPONl3GAKwSjQz8ukUpydHGfNJrCUwIPIo7DlF9XnUk7+ICmv3FLBGgKajl53jYLeSpkqWCGoCwGCY4aPdvGP0yJ4zVfLcrZ5JpsxI9xzBRAN4wuokZAykdHeU5m06gjNMvDQ7aiCPgZLvF39+qP6ER8shYZIt3LPpVBorJcnEjRpLsutKLXXizz9pD2D3+xjeJXdt7qGHyQckLRuqPloEs0VGrsfoWa9qdeX7yo3PQ56N9hFp59QN3OkV6V4U32/eKkR+15yRw2KRxE78bqR7XtLOsVhRZ14BQHtoojUYyz9Ez/r+mIAZixHPRpbmUKN797FEfzVWBIuatLGonSObAh/ZHGW6rmGhGlEkBbjPO6R3moqgbeDnJP0HjzzyCG7fvo2f+ZmfwSte8Qq84hWvwPvf/37cvn0bDz/8cOINJLF3vOMd+Nmf/Vn8+I//OF7xilfgC1/4Ap566ine2rCzs4PDw0P++a/5mq/Bb/7mb+JXfuVX8Pjjj+P3fu/38JGPfASPPPII/8w//af/FD/0Qz+E7/u+78NXfdVXodPp4KmnnkIu5z60v/Ebv4EbN27gjW98I97ylrfg677u6/Arv/IrE/0O5ayBfCa+3yNUBVbol2Om0nMrjnZjAZy4LusHFEcWnnWGiXqjgJDKXwTLIeryF0Vo5sIo3YCH7jkYW2j2WTXqRQQWnWPAHgOazmfocsBBYcY5F8XLnuJINqKvOA/oaTKyqn0otBKEn/Pg1i3AtpGam0VtjewpMD3Ax3JQHYMlAgOMbiatGvGe2x1BfDAZYyAQdHLGAHk+GeAwV84qCYgxZ6tl6jFCj7uu6JlqYBFWjfKJPPZHllCNysKYm0NqbhawbfK9CcbOejrD2DNxjIFkl39oVbh96BmRRn52smCoqJPnTtr7zuZ6j3tonJ/SPb8Iv8HMB3ZNxhiYkzMGaKtHbmqMPqUwq4yrInsm53zWHcG0fLS+F8HMIGtno3vf6fMxOqfUWsWgk41/G1sOLnq+YMjfZpJABwAABhqhRDqyEZwAPwunwajiatWoNL0LpToDbM/ZKpCrKoO3zNi7olP2TjBZZdX3IxgwkUvrqOTjk0rABUwP/D7atj3PB/OH6owBARiQCGqK4qUZWmGNaiMTLZTVBXjArn0OCvuAAYnwIOC+KyPLxgqdbsKEz7hRWn6mS5Js9e+Qtj/EAAN8jKXic8cKHdHsDPJMsj5hZX8XxRhgey4v4bRn073ofPRelImaC6GTCeizUaKtP7OHEoFT6Z4ZmCFjObgV4XZ2iY85jRs36a5NPhdaxc5VgUwZgFvJTrJu3EhZs7zKC3CTJPDinr1nTfzHilZXv7+FVt/hCy+QmG92FsY8SfRY7OF4dGCSMyClySrgqb4nZcCctodBQWzA9R2VZRy1Tc+/ibN5Dla673dA04H6jhWtrrxuMWtwYFo6/k94pvnYv4hYNz0/z2O+tQvid1lhTjppo7wER9OR1Uw8WBkq+STAvSekPhrgz/SORUBBVd8vWmJgAAAKhQK+93u/Fz/3cz+Hn/u5n8Pf//t/H/l8clRiEvvBH/xBbG9vYzgc4pOf/KSHzv8//+f/xH/6T//J8/nv+I7vwK1btzAcDvHMM8/gLW95i+fvNU3Dv/yX/xJHR0cYDAb48z//c1y/ft3zmenpafzmb/4m2u02ms0mPvShD6FUKk20f9XAkHyWBvji5SGOOaKmSjVmL9OIBnDiutkHbgCaBvOiA3OgexIS1WoUEHSWAOTAQMyeHcfxzFiNrM7x6vshFy7KGuoBnFQ4hV/Oy2TEDwTGgMKLJoridYZmUL9AoE4OzrZ5UhkFlIhBF0vGPdUowZG5jAE1YIA52M3qJv+stJ1AoNYe8KqR4uXBaap+3QzvMx0WdIaZeNZSWpgwZtEdN6lafQ9Bwn3jFWXVKLfn7HnPP+X9ZgX6b2OmVpxQqnHSSsZpZ+hVF2dgRmUF0HX0RiavRqn3vpNndrctSVbTOS4eOTrbTrQuu/w7QxO9kfCu+FgOZDKIejAkMgb8wIB5cQHzgKydnRrDumB0YLU9Txcz0DWibxYQa/P5vCSjagFybk7kGD3vZALVZyNj6LwyEXymfWBGAh0AAGhbRwCAYX9a/oEaeU8NqvCues4AeT74ZALxffK1IbnJn9qeV2jyPu4TqqhHVRwgz3MqC82xsahdYEGxGgW4gGkAGOie8IowKsue6S4qRkZwkmR1KrMi/xCroOEsto1MtIWoVgIBOGJ3g58t5t5RD3r+PGO4hY6ZLK2sUnqtf8/FAXknlRkDUaPSJIwBVVCY7CHLzzpQxQbcPuERefaTVrKjNVVWPaCw6nMnis9KRfFYP3alARsa8o0zmGeS1jCfzUVV3zsntJCSwrFTA0AmlaiKnjG/eNQjv3sgWdU0fteuanXle2Uu6pwBHns0MqQCbegapgrxlVvABRACkwmkwMBZ4vu73hmiJ+gL8O9fEJfrUxHgSVgO4a0EDBg4U06yZ0pZ6BpgO+AsY48xMKOymvheWZLEo4GzZtV3nGOxHM9CY7Yc5qMBzzP9fJuwHOLiaBbzzR5uARBaCWRnnUpjkCXx0kMF+VhrmS362hQCRs/6zpCAGV8xxsAf/MEfYDwe8/876r+XLdqSAQNq1XfVChp7KDtUqVsMlFOlIu8JHFykgdZ+IjoYM+k80wl0EU77p1wxdbW06plXPPZX54Tq+8UxEwFSv0hls1Jl6v5JWhSY48oXSN/tXiO8T7h1eI/8GpkUyrlwpyYCA5ymKiKdjK6lpYAyuehYNSpK8bQ9auN8QPa5Ud7gAa0URaV7thq7PNlRdTyLYZRPX3DPnPSKYouCBxiIZDm4YIbqntl3Xe/4njsfQCerRsl0BhqDBlojcgmsV7yilh4rLwPQAGuIfoMAearvobcqHN6GxN7vXFpXotYCwGKBVpMHe/IP8J7bZMlfMZPis389CbyH5TCH1sBUHlclPtcy8UH2vWRmi0ilHWiUwqzqo1O6xs86wEYQztq0bA4cJAngohkD5HtIMwpzIh8dUkUTfF5SAKY9aqNrEkp/q1WTf4i+h9n+CdIwE4kieQQIn3sOjs1a3tx+WwCJBAIBYKVG9EE6VBQvAMIIAO4K6on27LYShPi78jIgqPurrm1hCD1NfEjanpd/SKj6xbWRibYU1Xcr0K5lftRxnKCCumDs9ytR1lHYyMJpk7CNVmvBKSIyi24lECdW0Dgpweiu2bIOjY47jWolYHtO3koQA2YkrAiLezhph4wszNWATAmptIPTUg0AMHjuecSZ6DeCbUhuRfi0y5JV9XeFJNkmGlSITarnUHOr78pVfXrOYnsiN6GQcqqTBG22lIWuXATzFu6iJhOsaKfK94qYZDe/+DQAIPeg8D7R95CBGaqaOID7HR41u9jrSEZwAoLGQF35OxTvQrnWB3kPh6VVd7KX4nmsThEfs3fhJu+B57q8CBspGJqNK/luYI0wY/5rXwYMNBmYsYTDDilWxLG6WEt2YYu0KJ51R+gOR6FtG80MYbtfzTaU9xzpo22L65M8263Rz3+FgIG3ve1tuLi44P932H9vf/vbE2/gpWZJgAGpCmwEMBBXjWIP5dmQPDj+JJsnMhdpoH2EerPt2UeSPXvBDC/tWvz7sIvUo5iaSmO6kIFBBWoCI/qE4K17upN4z0vcOaixHFQqDqy6kM4RJP4gIsnu17fIurETCdygi1VqPFV9tufKClHjh8sYiOoxZU5rNj+LUqYULUDFBMTo2KCsoWNKoU8YcB3aeXfkjrsThZYYY4BeAMuKDk0EBqQ9m2yecHMPexfk0mCXTZxNFTLunGzZM+1jDIjPhgwYYEHDYnERy5Uq/beSi9TIcHCHfa+q1ShvVVjcsxfMmKQatV4mZ900D+Qf4D23+3TPau+hpmlyeq3nmdY5Y0hlXBXXcjCmADsXSN450HaJnHO2y5LsBAGtrCJljghIBwDVNZx1R3AcEjxNK1aj5ssxY/ToORf6h/zzyfcc3h5DmBvq1Sh3BGcJ9XbIs1ScA4wcNDhYSkAHBkhAtlNegG0YsDsdjPf2Anu2bRfMUKXlz5ezSKc0mIN4EGZFO1VeF3CBzUA1qkF/BvUdSUVc2Vk7Vh6dfsgZCgJiqkwEIEIHZtgB+ud8bRmra7y/D7vVgpZOI3vlSmBtVm1jYEYYMLCsnaGUNZQZf4tRPbeeJFuNWSlaqdSApjnIaAXer+8x2j5VQxt5DBJT3OsdCfXawxhIxnADvKr27G70aAwIrSb1GrmD/Kw2mTG/0R9LJulIWA6qyTtAfj89Q0ZwFtPF4AhOQGAMnCqfRy2f5vd3IG5sH/K+932zxvehvGefH41q21hJ0K+fEhg+UqCNFiWYUn6S55m93/udA5g2GcG5UFzwfojueQEXWCiqk8ojmaYX5EzaOdI+OVvKIK0wYQkAVqaCyXvgrPUULgzyzFxKXyjveUUWRzOjz/S4tALLdpDStdh4hn1P9u1bXHz22ZNtjOwR0noay0WvLl09RQCpDUN9z+w7PJT5u/YR4FhwdAPPtMjnVr5SjAHbtjE/P8//77D/LP8YoZctYJMEcDygHQ/4/FLWUzNOUI1iL9NBdweGHnSWfA5nIwvAQa+eTGlX3HMUy4FUo6IvaVcln1wGuoBIRom1MQpzksqOi0gKVX0JMJCkssPO2jbI97V/IWEMMGGrC+LoI4UHRyMMb98GAOQFxsBJWxhbIhHEc4PO8LX5WdOKiIy6xY0r/O/yz6omldW8q9TNv8POsYdWC7jtESuKyXssY4CCRtqoA4NW61Wdpa6HzMkOYTmI4A5D+Ye378AZkXdU7OvjY3jCRGSY4BJLWF9E0EL27K+uJq9GXaPilH0cB6tGAH8P870JkmzZ+x0qiKfeRrBU8P5bZhwYeIAkMWxu8yTgrWfP7QMADhm/VpzlfzdbyiSoRmXdMXqt8DF6ldEJUrAS7pklDmGtBG5wr1qNEqc/XPTG8hF9mubtuU3go9emC7D0FM7mybPLK5yCzzvrjmDaDjSNnLWK6bqGpWqen/Veew9j26e9IFQqkyg8h7YSCHseWzanZquuLZ611EcDnoREVXhQ3HNAF4f5jlwVyNekrC6m/ZC9fh1aJnj+jH1lUcBrp70D2xGquALLYXUqr06dp89Ra2AGBXOFZ5pVHJMEyukcAUOK+pJ8P7kqnEyJ7vtMvSpM25BsBzjrhrGNkovLAUIMJrQS3G/d93yfDgU0uvQsZNNz/FbIGFznIIohdRpT9Anbs54hrAvpCE7A4ztUz9kTN4btubKM0x5tqUsAZvhBYVZ5323vwrRNz57Js6H+Hc6XszBsE7hHhQepBhhprSN36z4Vl5vkvjruEx+0Vl4LjuAszmMEAynNwWpaneLO3iuxss+N+o96epHuIwnAStZt9MboUkBKBLyYDzmhrI8VPb4thtmSjHnLjD4fXTr2b06hpZoJRA5v38ZqibwrT5+Q73C9vI6U7i1mHLBpB5pvGk7UnqMYA3TPdmkZfZNcuQsRumVhllhj4MMf/jCGw2BiNhqN8OEPfzjxBl5q9qIYAyygyJSI8jCAMzovXKUaxarYB90DzJToPFNxMgGrcDbIg2eyntskCYlsvJsvuG8PTT4vPMxBMIRbpDktRCWs9KJz6M9Ksue1KUJZ3Lvou5enb8+mZXMQRaWVgDmuMdqA3pNTlaZozy39XaMAh+ELtwHTRKpahbG8jJliBhmDjC3hiaWk/eFIQWPAL4wS2cNEg+RM7xhpmIloSpqmBVHlppdWC7jMjcQaA+kWDlvN4AfSed77vqrVMVvKKvc+AhASePqujHpkBCfAL/7dc/L7rAlgRnplGXq1CozHGN4h1DIODJQ3+LMfOv6J99yShDVJAu8GhyKYQYN7+tyx6nsSn/Tg7CU4jg5HG+KkdxL8AH0Py8PjxGuzc/boiPjYRpMIDzIfEsoYeOQxAEBtnKxlg3xW8h2KvkPTcNpJfs5zpSzsEQkaPGOZmJUXAT2NFCws4GIyqrEIZoig8wSiVuystfFccG3RqP9Y1U4T7ZmBt9vTbjsBAE9LD/ODs6UsDMVqFEACT8csI61lYTom9tu+8W0UDE0iega4/ivQkiWwHE7bQzgOkE65yuxxxkT7CDAQDSoua2eJxKcYON0bWWiLVWEOKm7Ash1+N4g+Okx4kBm73/q9ClJaCn2z7/Uh1HdUtD6uVtSLTOWswduQPGDXuE8U/gGguopdCs6vTau1KACATYWajbCWDU3DiFYBr+WasWK5zIyUzqvC4S09ycb+MRP1C6Sj3QAM6Z510kGjBAx4144CM6i/S8IYKGehRYk8AhhXRN+RLMkGJPcsfw/XXX+XEMwA3LNYKC4gm8rCtE0cdgiTy6H31jwamC+oAV1sz+utY2jmGHqlgvQK1RJpHfDWur1Rie45wVnQ3685JvuTtmzoOo5BwLtF51R5bfZe7cqKYNR/HGrkPVLVLgCAci6NSo4k2ZypVFqGoRkYWAPuQ/ao2N68pb7n6FYCOvYvTRgVKsCtGPM9ZhJQkU3akD3XW3TPM6b6niPHLFLf0S+Qdq3ZUryAt8wSAwPvfe970WwGg+92u83HBr5s4TZRvz677EQKIkVU2d+pVKNmcjMoGAXYjo2pGmkTEJ0l648ZtxxYI4333E7SSuCyHLyXM+AmK+Vc+IQGmVjHOnU8O+eyfn3/nNvkjIHO0OQTDfxU8bPuCLbjpXlFWTFdxHyeOEE9cyZ3PHTtfI/sOVp48FkABDnWNI2Mw6r6qKo+8TDLdniwrMIYYGe9xNeVOJ7CLBHjgoNF7QxLijoAzBb9VFUecLosB7capQYMVLNVlNOEEnnUC+t9d+nAqm0EzAIChOycsxUgXwPgXobrQtCpaZrLwqGBl3cEpxpjYIFezpNVhYVg6MJLYU46Qg8AlqtFOCNymd33i4cJe542TxKvLd2zbwpLkvGK21Qg8dr0JgCS7DAKrNVuY7xN22GeeB0AYNY+gw77y64DE6enIrNaIY2MnoU9rpHfxU+71lN8/bUE1FqyD0mgzNp50gWgMK00TlY05kMqKRKQ7Mp8NMDfw1UtWb/+KgVvny+S9V1gQBzdxRhdySokhJmko2KQZCmM4p6UMcDavQLjsMRRhZzenlNmkzDRPns0Gy5AJQADUSO2/JbPuCOHPWsLscdpewiTUmvFZ5oDAw/LgYFFXjQwsVom+/OcdbaEvkHGod4otJX3rGmafOQwE+JNF4H8FH8mWSFAxQYgoKw9nAn9TIdWFB/ISUDpCAsVIJQwdybxSaftIXJGDkvFoKZDK0v+bHqOrD/e2YHVjj/z+DakSRkDrqCmNFkF0KAJ2opWRy2vLjAXKkDIW+tWXfA2EZjhBYV1TecMV+YPW3oVfScDXXMw76hXhefLOVylo0ZzDz0UEB5EdRUnHTZ9KzlYOdLJ/SxLVkemjV2asM4mSLJZUYQVSbjZNt/3tkUAhyS+H3D9P2P1pvU09yGMUcdGCtbMY+V1Q9u9AP5Mn2gE7FYdU8vyqAcos2O7vQUA2KgGz/r2gPg7Jl6qYqJWlx1oQyK+o0W1CyYRHgQmAAYcx5HSfPb29lCtVifaxEvJXlTQyQN79wFLEiiLo92KxXPv2gBStRpHJgcXaU5hTkKBEoWAHMcJXM6AGoVZNkplfZo85FHAQJH23CYJDnPpFD9r7tR8wT1L3lToRMyYI9Azp7xv3mM0QasOj6DBjgzgWNDFZqUCLu2TV40aXsbAWYcEcLoWfeH5z5ol+1Javq7z9Ve1urIOADMWWAdZDiRhGJoWf6aTOLU12vveMA/k43IEOrBqiwKzQALv69UH3GfSX43y6wyI7AyG9HdHkp5NYX2mDpwE+XWr7/T9ti0hySZn5ep8qL/fM6Us7DG53J89vRO65yVKjVMdVwVIWqeAwDOdJFBmrKOrwghOBkqy3s308jKMletwtBQMWJhDY0KWg0R/wqflkCTo1DTSz2hHTCZwxJ7bRBU0SWuMyDbSNCG4V1uXnfVCnvzO22HAAN0zaSVIwOqivv/zOQK2Dp57Ds54AHRoQCWIyyVRnQdcADLjhIwsFFsJErwrhYw7DssTeAqMARVGl9+UWglo9b2gDbGeD2FvhBgHbz3AAGMbbfJWr0VB1NBxHAyepeB1GGNAmEoj7ccGcJYi38GVjHrPLeA+p8cyhlR1FZ2RxcdzsmdJxZpjEr8M+uHAQJ1SmK/lGgl2HNKGNOoBPUqFnlAXwZ+wys76LE2AgfX8BdLLBBBLojMQ3kqwxltjkrIc+AhOmcgjgGOdVm61C+j2SPoZ+Z5DmHkC6MxHfk9QfW8PTK6Z5FfLP+0MceCQZ4fF06prX6ECvl59Add3TPJsFDIGEViMYGecdoY4oIwBFk+r2Oq0N3nnxttFU7g3JIlwkpgDEHQGhDiagTA7rR20BiYfz1ccqAMDLMY8ag6CcSMFQ3ccCgwo+mj2fa2fUWChT77HS5VLns+NLRvP90jOnO2pn/NcmYhTmraDeqANifzMU+pHJxlVCCQABl75ylfiiSeegKZpeOMb34gnnniC//f444/j9a9/PZ588smJNvFSshdV2WGo/ZT7MidFlJnjSmXP6L/3Jn+8wnmRRmmCnlvSc06SnbPuKBBwinsOC2Yt28JuOzi2ZmOajAzZPgvv16+NDiPXDjOPzsCoKwgtMWBAvY2A75dR3LN1OWOgvAxoKRgwMY9GpONh/Zv5hx/mfxagQfkYA4eCJkIYtVYcC8mejaUKWdcjEigaDZSXMQFjwD8n29erz4LRXFpd1BAArtbI3mGcBns2AU+SnZQx4Aad7D30shxs2+F9det+YIDqDAyefQ6O43Aa8Hp5HaWsEUhYvXt2e243ZorJ9uyvkrQPyegd3eBaDpNUo1K6hqxDKmQvnEvmXwvCRXN5DRlDHXuOrL7TREd1UorjOB7tDL+CtKe6mTJgl0igvJo6VxYIFPfh8aM+MGOSChoADzAgE8UTqbVJvkNWyfb0gr4ILQfRh1yioJMUvAUwplWeFdQTJfBzpSyyho67lWUglYJ1fg7z7hfJXxp5oDjLk8JJg05R00E0R+htXkhwzoAroMrbCRzHw0ZTHScrGgcGhhGtBOkczlADAKwl6LkV9xLGGDjgwoPuns2TE1jn50Aqhaxv3DOzBQGQCgMGDmkStaqfJ9qzdDKBEC8xtkCtkI6c/OO3OhVqbjQrck0VAPsOSUjWUgnBDBlDijF3MmUgV3Wf6STAH/UzTFxadtaHNMlewgmyPlab2p791XeBuTMBQ2qunIWeJcnqXG5N+pmjcRF9h/rmZggzULrnOJaDAGYkAG/LWQO5tFczyX/WJ+0h9p1Z789TsIWKlzHATTznCe+VjZlCJDBw0hpgn76HWlN9z4yJs3ve8+mT0OeusoLDNoknE7O6mH6BRIBwq7WF49aAn3OqleTZIOCmaTte4MhxeCH2Dm3pUwYGaPFu7mgLgCvU7D/r0/YQ+1RjINU9AUw1ADed0t0JEE052MXO4ivOGHjb296Gt771rXAcB29605vw1re+lf/3zne+E//hP/wH/Pqv//pEm3gp2STiJpwCK2EMJO0FZVVsK0WoRH5nKU4mqI2T04Fz6RQPhrbqXSHgdOctxyntHnSJYmpGz2CxuMj/nPcwyYLOqU0AwIJ9AsBJ7Hi4U7voAdQhI1shYktwq+dJgk6WaOuZOuodSZKdMvi5rGqnofQqZzzG8NYtAN5LIjCZwEe7Zn8e5dDOBmfojrvQoGGtTAXN8m7PppTmLgTKSRSvAcnIQl91VVS7VhWfAlx9BD1TDzpLwFOpXE1AJQUkQWcjWBEemTZSuhY4D/4+3bqF4/YhH8G5UibfO9fkkOkMcArzGTZnku05MA6L+Y7qKp9YsUffo6SsD0YX35ZUsVGcg62nkdIcPFBSHxtE9uwL4BxHCO43AahrDFwML9AeEWrsRmXDFTb0AQOMgTOgPXkP5c6VKd3iPiJbCWKEVsNsvpyFPQwHBtpZAvBcTtcTaWZcmiUg01Fr4Iq1+UDFJNWo88E52uM2NGi4MbMJANiRgbdw+zVX9VNeTVcxTdOwOpXHKJWGuUrusMHnP0n3TEDnScBbAFilwVOvSxI8/1k3jDnYjoacNsa8oU5xByTgbf8CGHX4vnmrl+K90hw2cTEkCSjTGJAlrGPLxp5Ne24diRZIhAXavQBPG9KBZCIBFx68cgV6Tv67sHvovDvCSpH4Y/9Zb5lkz3MJepsBcMDG2zq1Rf53apPHDH7gNsraozYuhgSgGPRn0OpLWF0A7o0IE3I+4Z7FsYLchEJKs29ylsN6Av/PJjgBRFxaNkZvh1K6p606cjceAAAMFRgDnCElshyGbWDQIP93ZWUixoDp9KHTdyuPBelnTjoj7NHqLQfnFWxOxswAvLT8CTQGNE0LACV+YOBUBAYSJNmXpnK43CQJJSvWARBYMOsTCVMCwOqUAS3d8OxXtJP2EAd8z+pJNiu4dAV2jmfPUxtcPygpq2tVwhgQ2RnHrQEHFZPsOaVr3N8diOyrbh0Yk/jlZr8GQH3SDWulKuzeh44hhg4BZv1nfdjs4wJlDEHBrpY6oyRUIJz+7qytIml8zkxtHgyAn/iJnwAAbG5u4h3veAdyIc7/ZQs3Q9cwlaAaVaQVxe6I0KtLPlVxAImFrRhNawBCt/EriIrAwCLqidZmdmm2iP1GH/frXby6lRzMYE51vbLuUUzdmHFFAk3L9lbBq6twoCGPIWbRSlw18sxKbR7zNd09s+q7+lkwx2VkScBw0Ojj8lzJ8xmnug6tsYNV7TQ0gR/euwdnNIJeKiG97n73y6Ki6qAJDGmPI62uKk0koP2qy6VlZFLk2dQ0kuDeq3dx0BgEq9VCkp10RipzrmGMAaZrkHTEisjOOG4N8Ch8bU1Cn3A+4doLfrE23/QHpi+wXAsyMzKbG9ALBdi9HvaeJYnMankVaZ0kRfPlLO7Xu5EAzJzWxOUpZVft3TNnG3l9x9iyeVX38lwyNsJcbhUXAA56kkBH19HLLaLU28X1nLqiMSChqXZPgXEPgCaAMGoVNPZcLxWXkDNyfHY5Zwz4GDit/AqK+DSuZZJVKkXaLm+zC9FFSOpHFyo52NvhwMBZZgkzADZSySrCtUIGtUIajd4YW2ddPLhUkYJdgFqgzKc/FJdwZW4awD1sn8tBoWN9HvMAlrRzaI4NaOqAxtp0AXdPu2itXsL09j0MnnkG5TT4Obs+ejLGwEWjAqPsPjvMjro2hqhhERfIdvaB6qJklZC1/T2szHcU54B0PjFjgCV38/l5tJ0sRqaNi96YjydlxiqVj+MeKkN1aq24l0NZK0FtAwe3yJ9LhQeFVje/TRXSyKR0jCxbqucwMm3cHdUAA6iNku1ZyhgQCim7NM5Joi/AR/xZZcDO4aQ9QFUCZj3XJfToWoI+YUAUapaDivfPyDs0X87yaQAqxpT4j1oDz2QC8ay3h0UMnDRy2hi5DZJsqzAGGMB62pHsOVfF0CiiQZPCJEUwzoIxy+j05b8rS7KvYT9Rks2Zt+KeHYf7PKe6htPO3cR7ZmvvnPc4iOZvJThpDdGcABhY69XRtcbopzLQVwUGhcBWnKSVAABq1Ra0oQMD8hGcJ60Bb39IkmTn0inMl7M4aQ+xe95zfZLANjo+YODti4jPqYnP9VFT2HP/nLTkZNTe9ZVaHvuNPg4afTyxPuXdc3kZu20ilK7qozMbG9AKBei9HtaGd3CuOSiny4GzJv5Vw1lqDsvWPjnr6UvyRX22WM3hi3vNYNxIn7Fb/Sr/3SaxxBoDf+/v/b2XQYEJbbqoPq6KmUflX9ZKkJAxwBxXyySU+7snHc/fM2Bg1DawZNVRVZgX7jeWwG+ddT2oPd9zO9o5yPQF2OczKR2m7QQplEYWFqUDXzFOuYqpqnnYCJJRhewFTNJj6o7ROwNgS9sJBiUqIKbXQy+lwTO0d/PBB6Hp7iu7JIoPsj3np4AsAR94/2ol3DmwQNMv+OPqDAT3PCoR4GFFO51cY6A58NJqqfI3r0YlXNedTHAWMrLQZTkkFh9kQScXAfUmUVGiVpqu86r0+Zc+49krgADF3WP5KQxAnonr+WRJtljJcMTKOwXo9i76MG0HubSe6JkGwKt9jdERxtY48PeNNOlvuzxhkn3WHcK0bNd3VFcBgwQZqkm2/7kWGQN2t4vRvXsAgBwFBuppkqhspJJV/dg+hqaN1sCkz7Sv+s73nOycL88VeSuBOJaJ2RFVeF5Bsj0DwCYF+7bqNIH3TTRJUo0SgVxWkd0+60kr2ftWFWOH6Dmgrd5XCbjv1+E8ZQzcoa0sFOw6nlB8cKmah6YB/R4JLE/7p+iOXWDjSKCpJqEDA+44LBcI9eqTHCcFBihocal6idNJZcJZh40+D5T1BNRacS886Bw03Ypwbc3D6mLG9QWEVje/aZrGgaYs1XMQx0MeNvucWpvtqVfPAHFyjAgMbJH/FRgDqwn0BdhznaYTCY4lkzZs28Hn2iQIz3UPiJaL6p5j2Ebs3WQMnyQ2LwDDzAeKPmT7vM+r77lF8n0P796D3Q/RrPCvKwUz1lGnU7LSKS0RI4j5a3s4603gBTtpD7DH30N1xgC/Y8Vno3/BK8KtzCIf+ZwUvGVFk3unZC12tx92DzEwBzjtTNZKUNkhQMW96jIO2oKeAvXTw9IquW+QnDGQzZN72bDnpKxMwhhgwMAuudMUTTqZgH5XttCykbyVgKy7L2kl2G/v47DVRQsFDHQag7GWHAVbkgkQUt/hTG0IcbTaOWupFHIPEBbO1RbRYVqrrAfOmq3bylKgOQEIEyiwAcCgRXw1gGfaZQD/N4oPWpaFn/3Zn8VrXvMaLC4uYnp62vPfyxZuSZ0OIMwdPau7ojQCYyBp0MkEOxqjOqANsd/oe2b/GnNzMOZmAUeD0bRwuSynz0UZu8i26j0pMMCF/GIYA35gIKVrPKmTtRP0iySofbhwkYiGDvgZAzJggFXQ1J3wSnkFhmbA0UbQjLZUgJCpA19Nn4fqALj90N6ga4UzBvqBZARIxhhgVHxmDEyQ9bDWUySgWNPPUMknA2BY0HnSHsLqeWm1/HdBcofGnmvN6GG7EUyUmjlyzrNaCysl9YsOcGlvjd6YtIP4JlbsxNBU+bSP50k7iCiuxCiwUsaApuGQigBdMpKKcZF1B2ObjB0TKn4AcO+UnPul2VJisHKtsgjHzsCBjb1O8DJjNMQrmUaidaeLGaR0DY5D+mP9voNVRwEFYMD3XIu03cGtW4DjwJifhzFL9srGKK04ySqVuXSKg5DHrYEn4ERlGY7jKOsi+O3KXAnOeApwdM9YJmYsSJ6xTsl86wTGfPQ9Dgx4WQ5JqlGiv2bvQHsgTHgR7KRj4pD2ZCcJ7gFXNO42bb8abLFpNzTJnqC3GQAyhk5+TzuPSppUjETa9YkIDCQI3gBJK0HD6zsOKfCqGnSKZx01z/qwOZiIDgzIdGDo95SfBrJlYWqMu+e4iQR8bfp7Dgdl5FI5mI6Jgw6dy37hghlawj0vyKrv3H9sTDSRgJ11mbZOBfrqQUCjHXMKYycFzR4nogNLp4MI+iTs3UzK6BLXPmkPpKPd7px0sEuBgbTeQGp2FrBt3rIYvq6XOk/27Io8Mr8xV8omisFcQc250FGnhDHAWgnUk+w5gTHAVdwF5s7pkOyzMkER7Oo8KcLcpfdpLVtDJVOBAwe77V1afU/OGBjS9+lObRX3mY+2bf4unxmk3SJj6IljMIuC3+ZgVvr3xyJjYNThyaaKSScT0Oejk1+GRcWwVSZ7icZYXaftIW/JnS/Mcx9y/2IXgIYOT7LVz9rDvGVGfce4so4+/XlJdGBYgfUaBSgWJLoZzL8O6OjQJPehdKQ4AzMKM7jfIc90Ug0wZomBgZ/6qZ/Cz//8z+Md73gHms0m3ve+9+Hbvu3boOs6fvInf3KiTbxUbLak3kbAjDme+u5t8ge5Gu97B5LTVKvZKqe01CoNAHAdD7Ws0E7wUD5Z1Q8QqlEiY0CgyMRNUvCL4YnGeu1kqtfNHJ0nnElGrQXcgGHvog/HVz0D3MQtCQVKHKmiZ06ljIE6dfCbRvgoG7ca4w26WDWqNTAxqG/RPbsOiDmNKOcQyhiICjpBLucl7QxaAjQZIAEDU1RtHhJUHIVZTvvalwhbqVjeyKOYogrukjF6+70M2g45r0I/WfJXyRvIUhG900bHrXRyxgClqYYBA/R9yt4lQaN41vN+yr9gnaHJxwaxth5Vy6VTKNOE9aQ1dGm1lG3E3vnLE1SjFqo5Vy1fctZ3RzUAwGpC0bOU7s5yP20PPYE94L6D6ZQWO67K/1yLlH/OwBGAtm2bPNNzZrIqNgBcou1Bd046bkBSmAXSebQGJoYTVqOuzJcApGCPpz2/E7OtYRlDJw0ddqIKCeBjDAgBJ6qrGIwttxql4O/EZDWfSfGkRCYSS0Sikgf3gDuy6otZAuKYzSHMgQ7U1mFaNuq8GpU8GGJrT2cI6LDddGnXR83hRME9ENFKUFuD4zhcDyVpK8FmddPtM5WAiofNPhcQSwwM8KkEDMxwe4TJ2gxwJv7UrNdhHh8DmobcjRuRay9wYHjEwVz2/Oxd9N1zbh0mqr4HWgkGLVdAuLbBK5hhPlpm7KzZMyFjDGyddWFDx7FOnknusxTM1ZcRdCIuKAtmapP76M2EwrOAWyg6aQ1h6IZnPORgbGH3ooddytpAY8cVnY7RGWA+7KI35lV20XcwkHwpIbDPGQOjWSkAA5DEfhLGwEI5i4yhY2y5IsEiAHMyQdGH2RUK2tyhzFtN0zztBCftIfbBfMc+8bUKxmK+O7UVNz7vnlB1fx2HTo3suZwMgAGAjk3uuG53SioufdIeoo8cBhlKq0/gP6SMARp71A1anEkw2YvZVCGNAhVqZr5UHA+52yHPw5CO5kyy5wB4C3CGZYvq+NQK6USgEYv5rl6QGIi1TonGYmuTxYPs3VcwHp97GFLk348qG3AcIJPSMVtMXowGJgAGfuM3fgMf/OAH8aM/+qMwDAPvete78Ku/+qv48R//cfyv//W/JtrES8UmYQxcXyCUkO4xob6KbQSTVqNYxXJ+hoi9MLSTmagzcC2dLCEBgE2abBzXz4gzA6StBGH9q2GMAcCtyspUr08osr+hJ6fWLtXINIX+2ML4nF46FRkwkJBqxtsJ6lLGwD7I5bwUIlzkWBYGN28CCDIGSlmDVyt7p1vkDwUwg4mpRDIGhEBTtEXephC8pLfGNViOhgzGpA88gRkpnb8HrSP6TNdcMMOtRiWnQM3lSAAn633fa/QFSl+ySiWZk03O4+JoC3BswMgBJfLdcZpqSIsCA3Smd5rQHMczz1baG0tt+6zL95xPMM6GmUcx388YeBE01blSFvaQJHf+3nfbdvAsHcEzM07Wcwv4BLl8jIEXjom/ujIXz3IItBIIAlS8uikIed6mIxjLo5PE1fcHFggwcOuoDbBJDRQIZWJL5QmqUUuVHPLplCtA2PSe9Ul7NFGgDACX5gTwtlcHrCEADSgv8zsla+hKLVnbba+/3ogAb09aQnDfTMgYoMn7nS6Q3qBaORdpoLqGemcEx/GCS0mM+ZuCRipO4nN91BIpzAlbCWjyfNyi47AE8bDz7ggjy4amqbMc2HPtZQwE75WDxuSMAbbuBWNICcKD/ZGF8y6hNrOAmiUxmcuXoRej/YkoPstF8Si4uNfo4wQ1WEiRCSodddFE5uu6IwvtwdhtncpPw8mWXfA2QRsZewaWi159E9GYyOYFTSCSAAOsvWlsOa5Ym+A/7tcZq2tyxgCjbov92PdOu3ActyiBi+3AWN0wmyqkkU65woYAPGyjW0fER7O4VdXYM0CAgZBWgtbQFR9MANAZKR1XKXh786jl3fOEEwmYscLdvdMuZyOIYo+n7SGOnCk4mk58rEK85Ng2B2juCC0l3PeUl3HSIQBDUhYaABzT8Xn2aDY4WhAu62bMKtlJgAFhMgH5Ie6Y5ANaUJoEuNU0jftoWTvB6YD+TixmT7DnAHgL8Pe4Tsd6Jm23ZEDb5mkbcBzknKCgJhMOTM1c8vxMFVvg4K3gk6jvaNORwYvVXGI2KLPEwMDR0REeffRRAECpVEKzSWgm3/It34I/+qM/mmgTLxWbBL1hDtY+D4r4tfomRlbyahR7mUqlBoBoYGBDS6ZoDJDkXdeAaZYY5Kc4y6E3MvnMdplTG1kjTi1kaKB/bUCuen2gsSQ7WUUYALJGyn35z7fI/9Lgfmi6KqtJ1VRdYODUM2qF2ZbF6MDH0grJ6N49OIMBtEIBmY0gUMKCs/G5VxDPth1XFyGkX39sjbHXJg7UzxhYjtAYOGiZOAZDk5MFyoDrZPs+loPjONzpryTUAQCA1RJ5Xs6HwerpvtBzO8meGSDUPaGBmzB+k6HjYa0E2cuXoWUyyA9tzDeAjbL7PUpV7antnPVe1J5ZslFvdgDWZ0wpzKyVYCKaasUdo+evYu83+rhrkgAg30mW+AGCuFVbYDnQUZQ3adB5YzE66DRtk487ZYAXm+pwv95FX9IPfbtbJNV3x0qcSDEf/cJxW6j4Ed+RZOyf33Rdw5X5YuhZe0ZhXWwjiV2iVcj79Z77bJWXACMjjP2Lr0bZjs1F2pgPiZoecyxW0BIm2ayVoN4ZIvMAqUwPGmmgtiaMdctOFAwxf6PTZ/d+y63eHHtaCZLteb5MqmNjyyGJlMAYYJX3mWJWaayneNaXKpe4Xz+UgLceMa7OkfIoLACo5tOcIXXc8oKKDGwWQWkZ0BZmzI8eNQcBobb9iz4spNDLJleeL2YNlLOspUdkSG3irDtCf2xB09TvFcdxhOea+GsZxZ2BX/0SBbcTBPcZwx3Je9IeEMG0DomZnKlLpBUTk/lovxK/mKzeob7foro+aGx7xupGmaZpgQkvoj7JLUUfLZo47tQZzQYYrABpI/NoDLT2EwG4DywKPlrcc219ookEzNanC0inNPTHFn83RBDmpD2ECQNmYcH7cyNstL0Nu9uFnclipzwvtHsJwoMTTiRg+wIIMCBjdTEAzGFFpgQ+j2l4cGZG+4iPSd4dkxwgaXGN2UrEZAKmmZaeou9hU51Bt+zXgQG4/9inOUWSNgKATGfR0mkUhzbmmoAzngt8hiX1hYUr5A9k459DbElo9/Kzjc4yBNBJyroVLTEwsLq6isND8iVcuXIF/+N//A8AwKc//Wlks5N94S8Vu6wlo3sCwHVajSr16b/16AuQBytpb5Q42g0A7p56HXGeXvDDZhqLo+R7zhg6Vqby2NBogi6yBagTLmRSUqXd3fYuHDgopUuYyc0E/j6KMXCfJdkTVCoBUvHNYoR0l/YJTl/27Dlj6IkEdQDhrLN1qUjU3X6JiHE5JnGiPhPVnrVU8DtmTk1vedsfyAxjh1aj5O/lbmcXlmMhb+SxUPAimkxjQNZKcNAcTFx9B1wn61x4lfJJhSqZAqxoV2okGevawXPcu+hPLCAGuDTD8Rkb+0cuoKFpcTpXGE1VS6ehXdkEAFw/MbBQdM9a2htLbeusN3HVj+yZghmnO4TlkMoCJfKz778YYatyLnTm++2TNrZsUnXVGtuAlUyjZJ7POh8GGAPPH5Jqz42lSuQaBx0y7jSXyvFxp2tTBZSzBrThAKO7pIWFMTks28Gtky7vuU0S3AM+YCDAGJg8gAMIO4Kd9U7b+66dtoceOnAS25wlz2q9M0TfxzZKEnQed48xtIYwNAPLJSrgOE2eqe2zYIDv6ddPuOdqPs3vjOEy+V4HFxmgvCSAGZOdM6tGDQfBKRAvBhgwUq64536j7xEu5aMKFX3dUfeInLVuYKm05AkO/XbY7OMMFVh68lFYbCoNQP2/MNHkQGj1YqBRP6TVTWYLEsYAY5yw6uWAAacJqLWAKIznZRsxgGqhnEPWUIuTxBGc16Y3yboRjAGHgpdJfYdnrCz7t7kqTq0COkMTupas/cFdlwGsZM9isspo79lZEt+gscO/u+Ht23BGI0SZCzrQ8xCq7wy8fSABMFDv19Eze9C1FOzRNG4etTG2vJT7F47bGFsOxrlZOKksuc8SPNNsP7eOaRFM0EV4MYwBI6XzVg92rowReL+5xXVWNBa3K/gPBs44l6/C1lMuUCIIl8aN/A6zzqiDep/E/TJgwLRsou8DID3N9pycMbB/0ScMCrbnygqOOurtaTLjIwuFOJoVD4c01yjMbdI9q98tLIY+746I3ppl8t95iwLFSRkDWiYD4xpJ+C8fORj0pjx/b9kOjuk9O7VKhArROSLgoIKx+LgvtP0x/7FHWchJBbxFSwwMvP3tb8df/MVfAAB+6Id+CP/iX/wLXLt2De95z3vw3d/93RNv5KVgb8jcTPxvZkpZzBQzWNUoBUlKyZ+sij0ASaDu+RgDxvIyxtkMYGuoHSVP/ADSF7fO2AayPYf0RolUSdnfMxVYWdB5i1Juy4OjxHRggPSZrmqn0OAA2QpQmKF7dtsIkvZzMURTz9Rx1KR0UsEO2tFiXHHVGBbA5RiYQRNWltDPlbJIh4gacoG2ymbg92Lr1jsjDE0vk+Gw2Z+45xZwnWyq7a1is6BzrpxVDuBEe3iOOGIzdRLondsXgYFJGAMsSfKNKty/6MNxCNAVRWHuXiYJ+aMXJc8IThbAdYYmeiNvEr191sUBJusTFte2zrbcPes6ukOT98teni2F/OtwmysLjAEfvf32cQdHmMJYSwO26TIVFI21Id09PHP75qn/uKUYdDIfIo471XUNDy5VcKl1CNg2UrOzMObJBXq/3kFvZGFfo4BNI1n1ne1n66wH64y2x1BQMU5oNc4IMCAfWXjSHk401xsAyrk017xpHAosGCQUHqRJ3Wp5FYZOknbeSiCtRk1GBwZIwspnZdNqyKCRA/QUD7IWJjxnVo1qNmsAiG9klRiPGFf/Ahh2ZEuEGvOlJ/Vzoe/dZQyoUmuZv14vrxNwQNZnSu2AjsIy6QSZpP6DU1XFaUi1Dak4bBLGgKyVgDMGWMDP9IgSVNAAYZqCpw1JGFU4wUSCpeISVmsVumcZY4DEIbl5WvVLCgyIGjPnrF30Eu7TYs3qVGGiu9DVLyB7FtkZbBJVbZnuuXOM9Pw09EoFzniMIQVOw4zpcdyrd0mcRRP0Tm6Rf4dJGAPMX6+WVlDO5sjYSl9M+uwBYSY/vFqDxirZCXzeAxS8vcVbCVyAjgFSk1DcAVGAkGpC0LNmd2PG0JFiSbZCUYK15hQfIYy2/UafxGANCcshob9jz3VOrwJ2LlBgYy1Zhq4hO6MOZjBbquaQ0jWMLJu8h4I+CY+jJwTJ2WSCPQljQMucIqVrKC4mfw8ruTRnGx00+yRmcSwglcHdAXluJnk2hpcJUL55kMGpb6jUaXsIy3ZI69vsApClunGKsUcuneJFSl68o/7ynkWBgQknEgATAAPvf//78c/+2T8DALzjHe/AX//1X+P7v//78Xu/93t4//vfP/FGXgpW6iZPSABSkVpjwIDQSsAQyqT92Exj4IyyAcT+KIAEYEfTJEg2DpLT8gECDKxJgAGX8il/0cTRVzJjl3trYKLZ8yb/t7t5DJ00NNgTJVJrU3lsakfunmmyzAKCSRwaC3609DlMexzoJT9uDSKDe16NCQm6lmt5GDBRHFEtCAoMsP6lKBGgMOFBgIitcDpp0xsQHTYmV+kGXAGqAuubp3uWjcFKYg/SCggBYbzsjL1G78XtmQZwmQ5NVikNU5yPHQUana6R4OHKsfczpazBRXX8rIHtM9+eEwo9sneMs0lqXuHBmWJGOpc7znLpFIq0F/tsUEdn5AZxd046cKCjTfUekgb3j6+RC/J45zYAB0gXgeIsBmOLUyofXIxmDNxvkp/p1yh5aLmCKw3y3ecefoh/X0/vk6CzW6ABZ+KqXxbVfBqW7bjAAG0lePaARAST0IEBLzAgjnYbjC00+2Oh9z0ZmAG4omb9Uzb2zzteUQkYaAb1YJhArD/oHJk2zruCLsIEzzSrnnYKBPgbtwCr3eZgxqTB/Sr1OSfnReiajp7ZQ71fx8i0Ue+M0EEBNgveEgIazJ+1mU5QtgrkqokZA35/zfQLDpt9z2hIsmfyHWq15D234p6OGn1PcL9P2xbY72ReXMA8IH5crZXABRxYS9VR9widUY8HuNn5q+TDLFFWtAWRbcRHO7uMgSSVdzEOCYx+peY4DrYp3b+2cp384aSMgfbAZUhMX3KFBydgdJF13ZYs23ZwqUr80V57D7dPyISbteUVIEMSH625y6fnxOkMPLZK3oMv7DTIs+FYgJHHrS4534VKFrWCus6HWAx6cJn49mf2vZkU+/8fWa66rNkE7yEDb++ddolooqCL8IWdBgDg4ZXoeyXMrojis3Dj6+boAtB7pAiWgJbPzr/2ikdRzhpwHMpMEYoSk7YS3GuSd2o+S4U/fQU25pNmS1noTPspge8wUjqnsO+e9wVQcd2No7+MrQTumOomZssaUjNX3D0naJ/yjCwUNFUO6Z5VfbRo9XXynmwe6QHwlsXnC+UsUikdoKykJP7DHVnYJwAd/Z5uDgiI/X8rMOC3r/7qr8b73vc+fOu3fuuLXer/+ZaQGsfs+nwRqyzJFloJPrtNHPwT61OyfxZqLOnujNtIp3voj62AsvHzNFkzj7qJXjBmm7PRjIG5EOfg71f1WyFj8OobQ+uZHbXHLh14gkB5daqATdb+QCt+wGQTCZjN5edQMArQNAd65jwwmeCoGQ4MOLaN4XNEhCaMprlcy2FROyfK5KkMUCRrceXoiD2HjSoECDjk9l5590wUryen5TMnWx1REIZeQLIxWElspbwCODo0fYybde9l9mJbCdh3XxocePa8oxh03p0nAeX8XscTXGqa5o4k9b2D22ddHDozRLjI7EtbTaKMVaNyHe+ItBcjPMjs8swMbJMEW2Il+zYNjsbsmUoY3D+6UoWmAVm2ZwrQ3TnpwLId1Arp2MAiDPB6eLmCaw0C7IhJzNN7JOhMTXA5A+Q7fGChjAzGSHe8bUif2yE++lUbyXw0syvzRThmBbDTsBwL+22yf9aicKgzlkNyZhf7/vULL8shCRNNZGcwY+1eR62Bh7nDKLtn+iwcaIA5SCQwB7hUVXN0CqNAGDbDmzcnFodlxoLO9gBYoqJbW60tXuXKpHRoEwTKgBugjZimSo2Bt2TtpBMJGFV5oUp+18HYRkMAyY9bA65KnZ7emGjPDLy9OD8FhjRJq665jAH692zCR2ZzE6lSPPuI/a6DsQ3dKaFKwZYvHN6BaTswdA3FpWvkwwl9x7wo5Mre4doGrwgnGVXINCYuVS95Rr9y2i5I61ub6iUtrFM6cK8ODNsJ9ixoAfA2pMsvamoMQBhKGUOHaTvYOutiNj+LUroEy7GwTYHiqwtlN55s7AgChNGTCV75/2fvu8PjuK7rz8z2Aix67wAJEAQ7KZEUqV5tuUl2XOSiWJGbbMV2LLckjuNuK7/YjlvcZDlxieW4KJaLrF4oUZTYO4lK9F63l/n98ea9mQW2zOzO7qLM+T58IIHd2beLN+/dd+6554rx5rH+GWBSVBcUN+PcKBlzaxLidjHk5OJGkRigCgGKU1QxUO2SzIpVrHmVLivyrEaEIgJ6RsaZCeAoX4ahWR94DthSU6Bq3BSLWxbaTXaU2UjWljdPktjBpWztEASBEQO2jg5GDPVMuKPKkJLF0fEgkTANAJYaxNLrludbFI95MaIMCGVqo3TiaAAxzQcLLAWwG0gcUuiaIYbQZicpNVHhu1Mlb/0tWztGKJmRAjHQU0ESD81jQQzHiPsB2dpPz0gp+AwwHxiRoDs9Tz7/VFsVAikQA1/+8pfxwAMPLPn5Aw88gK9+9aspD2RNQGX2jKKjWEA+J06sGMTAzgZ1QafNaGO1t5WlZDGj8jKA3NBHnKLx3rQpxaDTHocYSCxTlbPH8RDLZ4Bm0FKtEwaIcUp9DGJghNWvqg86OY6LMiCUs53eAKkPGohDZgR6+xDxeMBZrbA0NSEWqlw2NFKVQ1ETwJNbWknQmagtJCBrWyU7sLr9Icz5QunJ8vOtsMGH/Ii4+buiiYFUa6NMvAlmcVznJqSgcsEfwownKI15blB97bv4ty+kZIY45gFGDCQe80nXPMIcYJnzkdZe8muzrJFEwPlEsi4IIyL54gY9lVjiuRiUQMvzicoM2qpwPH1iYFdDEXPLp/esIAgsa2IupZI+dWtentWEdWXOJWojufFgsnIeOq9ployivSofLWKQIycGTomKgTx6IFFp5AcA6yvImDkIJDBxlGBszof+KS84DthaW6D6mgDJ6nMch/CicgJKOFhKGsgD54aAUOLa4CXXFv/+zgXx/RaTTC0LOpUoBmKsIcUOMxxmAwQhWvZJs/qFeU5w+dTxWm3LQnKfGeYGYC0U1RNnzsiyUakFQ3azkRnBlVlJdq93rpddtyzfAs6l/kACyEygZPJlQBYcKhwzm9f5ZF5bjAZWDiL3GaDrdYXLKtU2q9wPKaEcoUa8jlLAbGckMetIoKKMACBqI5fYanR0XionODHaya7Lsn5qFQPiGj0+K1c5NCRtJxsLVHXU6GqE1WRgRovjMp8Bmm2tyLfCmlcI2MSSQBXrR1TnGJlxaToeMABgMvDYJq45L/VMRbXRCxtHYTXx5KBFu1xN9yruTLCp2gUDz2FkzofZQZFEKGpKyXgQiF5DNlYRoogqrQBS9079ZTqq8mVkhvK1g5K3ADDQI7b+NjlwZJSQ9K0V+XDE8LxSAkYMyGJoSt7x5gnyd1A45uClS4jMz4Mzm2FpbmZ//55xWSvcgjo2D9WWEtB5vaGE3GMDU96o8lap9M0qdbiaH1ZVmsuIgWlPlD9Jsm5kya8r+l7N+RASPSg4jkOhiYzT7pgiKl9WiqR8/ZBaFvqi1EYjCjp7xcOZAjciHFDgDSIyMS6198TSlq9UYahKMSD3mJG1OaUqh1Q6e1GoJga+//3voy1Gr9qNGzfiP//zP1MeyJrA7KDq4A0A2u0zAIBJFLB+78OzXgzOeGHguZSCTrohFxeQoFjuM/B85wQ6RQmib8YIYbxT9fUbimys/EGQlT9ItVGJSwniHVYBoL5oaQ0rzaAN0TrhFIL72kI7KyWIFEqHCjpmtQYkFFId1EQU20kDuDFDbAMxFnS1toIzxt60qgpsaOTIwU+gARWgaEFbnIFajFjmVjQwnDZViGNOzWOgmiOlD4IlH7AVAJBaI6YjgXKKLSt7RDUEIEnP/NZSgDcRZnV+WNV1y/Ot4BBBaUQs2VikGIjXkYCi29uPAZGXWJyRoRulXDEwMO2BIJBSA75UPLBOqrsPacBSEKAqBxKcsDZYKcrbAeDypuIlte+jc34s+EMw8BzyqkRpbQpk6JaaAhkxQOYmrQ1tU5CNkntnyNHsMqN+jtzf09WEaItEBJadqmoU97UUSMXW8jwZqdgIcBw7vLeW5yHPqr5kAyAHqdpC+5LP+vmLZB52rGsBjDYAgupDdmOJAyaEUBgU74Uisn5Qgk5J0Ck/QFFwHIc6sUzhkkzVRQ/ZpXmybJTKQzY93Nm9Q4uIgfSyUYCkGsgzENKib7Yv+rpMMaCylEAM/iy0DEm8D0fUlhKI81pOmlcwnwFpX6F/vwqXFWCHbHWkIr3u4jKkxWu0L0aHj6TXlrXaouUEF0TVCjmsinPJO0U8HRSC/u39M8NEjcLxgKtGUnWp6HRDP2s6ryXTRIm8ZWu/WDrDEiAq1g/qx3FycBZCVKvC9Mnb3U1EUnywm/RSp++FN4+jqURs+UpjM5kBoe/cOQjhpR2SKGxmAzv8z/SfIz8sbpaMB9W2KpS1TO4Q5fxnh+ZYeWv3hBu+YAQOs4GUP8m6KajBenHME4PivVBQiyP9MwCA7XUFqq4lBy0Tm3QHMC0a98mTQXuai6VDdhJTPBrzWVpbwZlMUuvvsRFALNmbNpYxg8BKlUkUul5vLl8Hk4F4AcgTP1GKAUcZUaEKEcnvRwFokoSUEpD3G8qvYeVNqa7RJU4LzAYe4YgQFZPaOBLz8Rax3Jom9VQQA/QQPSwrJQjm17JuZKnE/t2+AQyI1jRNM4NR8Z2cvAUgWzuUx0tRBuHi2hEqqGeGl6mQGRQptSusrKxc8vPS0lLWrUBHPERSCjobeBIE9kVKSI9eAK/0kg1zQ2VeSkwnDZqtdmKGJO9M8HznBIYcxYCJgxDmEThzVPX1a01zsHBBhAQeYzzJiAuCgEM95PWaYxxK5I6p8TwGgNjtsOhNN0P7CadQSlDpsqKeJweSGbEXqPzaqS5ocvY4ihgQFzevI7aZjk+B23N5vhVNIpnhzZOC82SKgVn/LKZ85G8RVzFAiYEZedBJriu4xBpy/yzgm13y3ESocFlRIxIDrO8s0vcYAIBSC7negKxVHpWSVhU6ADruFNqOlWIWZi4EgTMAeWSe9SuQqfpCPgy7h5m0bHFGhs4r+dygrarqi+3gxAMbk20qHrMVHdX57LOmbf+6mUxVvfEgxWUNRawFzzlxXBfH5tmYjSXqW/BQbK0rWKI2UtqqcCGwgHEvCRAWE15CdxeMQgSzZgfOhiUDLXcgDKuJRw0lBrxTgG+RW1ASrJcTA+LBhiq6Ui0joGgpizYgFAQBL3SRYH/vutIoObAaEIPYURgQIV4OecQ8rHNsATwHdFS7Ej7fF/JhUDzsLlZnxCZvZXL/FOTAgBR0FgVHZMTAWW2IAXHdMUcIudw71xud1U9RWkvXM6dfjI8KohUDSmSqdA0Boku/aHAYTd6Kh3c5MaCSVKStEG1uicyIaie7WDGgoCMBBSVCR2QGhP1iCWF1oQ2wOFn3FDXrB1UMmGj3DlcNwpyRESVKFQPBcJC1O6XqjHJWzyt9zmyNLkqdGLi8sRhmI4+hKSkjHC5oYPdNOsTA5U1EwXCwexKCIMiIgTFGGktrRx/M9fXgbDYIXi8CvYnfA01GhSfIvBJkigE1HQlCkRBrmVyfX4/mUifMRh7z/hAjXqiia2OVSyQz1HsMABJh4R8XD4wFdTgq+guoLceVw242svuBlhMUmkicYbBM4LLGIokY8M0m3FsWx3y0lIS1SXaU4qnueQgCsKEyH0UJDI8XIxwJM2K5uaCJmUj2ydpDSkoEK1Gf0jmtIvag99nA1DxbK6dMVczUsEiF/4QcPM8x9ZU8VuJDJLEWMlBiXj0ZSq87NCuVEsxYyN/QYuSZykkpIkIEl+YvsZivZWYwioCRFAPi2k9VDirWjijzWfF58zYyz/KsxpSTEUAKxEBtbS0OHDiw5OcHDhxAVVVVygNZM1DJ3AOAw0NurgGhlNXwsjKC+qKUhkE35LCBBOB0QYtEBLzQOQGB42GsKgAA+M6cVn19k7jRDwol6JkiTOGpwTkMznhhMxmwf93Svp60HVeRtQh55vibS12MoJNKVj0pGogBgBFhVIsqh35UsJ+PplFKAER3JpCXEtCyilC+LOCMSEy9FHTFz8aYjTxaTWRBnLJKZApdhOIdsilLX2Yrg8MUO/ioLIgVdJLxFxYUAbZCadwqYDcb0WwmpITXLq0ZQ4uCzlRQJfaTnvRLDDfdRGoKbSlnKp0WacxhZwVgIGScEplq31wfBAgYro4OpilokPX42VHmP0Br/xqKHUzirZYYAIDr1xWgHGLWTQzuaSlBqoZ4AOCym1BlJ/PtvGi4R8sI1pU5ZdK4HtUGc1trJWIgIh7uzw6LxECSVoU08CmyFiHfHP1YGnR1FlTjjChNpUFne2U+jHYX60SiOhslIwYC4sFNK2KgudQRRQz0TXowOOOFycBhV0Nh6sRAiaSQChUSlcNjp8n/d9YXoSRJ+y46r/PMeUtay8YyIKR7V3TNrdpSAjt4RFAljDNiwN/VBc+cW7x2ams0ILleh8X2kH1zcRQDKlVSNOgsDYtkl6sW874gFsT6dCXZqEvzl9hnXWiR5hNTdc3IslE06CywSWuHexzwzigeMx1TIVUbFdZj0h1AIBQBx5HPIzwzg+DA0tIcpdcenfUx8m7MR67D1v4Usn5UhUjjJRTUY3jWi1BEgMnAKSaN+udJG1+70Y4yOzl00MPuMxfG2eOox1F9GooBh8WIPU3FqOImwEVCgMGCoXABAuEIzAY+LZJ8e10hzAYeo3N+9E56JGLAMi4RA6yUoA+cwQCrqAZW6jPgdJN1cspSh1lvEAaek66tAIMLgwgJIdiMNpTZy2Ay8Iz8peUE1HiQmQMWxI6XkoH+Da2zZB8NF7XghLj+b0tDMQBIeyndAxfmyfXsjmlyQLPkAdYCadxx4F2kwKGKAUHWqvCxM2SfuWFDmaoxDi0MIRgJwmKwoNJRKcXR4hotCAJeFhOOdcXivCtWr1akhENgaoB0JuJNGA4Tkrksz0LInRQRy4Aw6CPr9UIk2t9HVSmBi3oMSKUEI6J/T6XLqrob2ZhnDN6QF30VxFi6ZXYwql05TbZJpQQN5Pt0HxCJbtUZD5RQHpmViIEJU1XU+0kVqomBu+++Gx/+8Ifxk5/8BH19fejr68MDDzyAj3zkI7j77rvTGsyaQArBPQ34+oVSXBBZ2Vf6yCFle4pBJ90k5kLkAEWJgdNDc5j2BOG0GOFc3wAA8HWm0LJQnKh9Qjl6RUbyz6dIxuOatlLYzEtb8FDH1ERlBIC0EcuDzoePkfdRXJN6nTBmLsGICLyCGT0+iZgYS7N+lREDlvGYigFLYTXAG4FIkBnMyU1okgVd1GNgkK9mzx1OUr+ayHiQojKGx4AkJZUF9ymUE7SZScZzVlR4+ENhJmOrSsM0pVF8P/NhSb1ESaPqQlmgPHFR1XU5jsNGsaRn1kxIo1lvkMm2EnkM0HkdaiEHuMXEwPUbymE3G9A/5cURMYNB61friu0py4EB4PqqIHhOgBcWhKxFmFgIYN4fAsclL39Ihu1V5F4b8w5AEAR28Gspc5LDKscDQQ+woK6zSWuZkxED/SjHxIIfEwt+cBywvjxx0Jmo0wb93C8W1DBigHYk2ESz4ykE9wBQ6DBjnYkcGkYMlfCHwiygTScbBYidCfwk+Omd68WBLqIA2VZXCLvZGJX1UwO72YjNNnKteQc5IDx6mvytbtxYnvT5coO2xYET84ERyVtfMIz/O04Ct2tay1KqEwYIQbfRNg0LFwTvNMFQVAREImiYG4Y5hcyOHDTo9CyQv9fA/ACGZ8mcrnBZUiYzXDYT7GYDK59CQS0jHPKtRkWKP7m/gPyzpgZTcvJ2iAWdVnIgcYokt4r1ozTPAgPPoQq0G1JdVImJ2ciz+8lUVwdDvnLDOXlbQXqf0vWaekiw4F6FtJYS91URqtyR/AWqC2wwKDyQyMtj6Gf9uq1kn/rr6RGm2qRzm7ZQTnXtuLatTDI9LmxA96RXvK5d8ZhjwWoyYKt44D3YPRlVSsAUm7JSAgCKfQa21hbAjCCKQ2SdPi+qxxpLHLCalLdXZN0f8qTWsosNCKnxYIfoP4C8SjFeCqky5KWKgVI/ea9DxloEQhEU2E1pKTMAqWyPEgP9Y+R6EeOYZDacpBSJxHyi2bT4d2gU55bTS+6PsKuWkVPXtydfo+Wg63V9fj0MvGFJW9lj/TPoHFuA1cTj+g3itUvUx0s0FjIviASIqwYDs6T0QW1r9cWoEclbeRy9ME+So1OBAUSEiEwlpUYxQMY8NTPNjCmpX1kqcT+NQzyN5HNsnhmU2goihqI3v4bM6bBfcZlrVKmvqKwaFLtFpRNDAykQA/fddx/uuusufOADH0BTUxOamprwoQ99CPfeey8+9alPpTWYNYEUgnsa8PULZbgwugC3P8QyaDtTJAaaXGKfbd8AgDCrD36uk9wUu5uKYRP7qPr6ldf5MYibY79Qhp5JNwRBwF9OkUX8po0VMZ/SPUMOUE0FsY32KGjQOTzrRSAUQf+UB0+Li+V1ey8nD/JMqO43TW+uPqGctaE7NTjLDlKpegzQsgjeuIDB2Sm2UTBTQ5dDkpqJf+tgfz8xoTGZYGluXnpRipAfZWIg1C2Qz3VKzOwA8Re1RAcoiooYHgMjctOUFCV9ALCOJ4eEERO5Bm2JaDHyquRxi9Eumt4FuHEERD8Pyi7XFNqBErH2feKC6mtfVUbe+4kFFwRBYKUsJU4zOaDFASUGbGI7qNDICEJTU+z3NrOB3ROU4KKbdUMUMdCtKkMCABts5N7tj5Tg6MAsq12tKbSpCuBi4ZqmNggCjxB8GPeOo3OUKgbyAKNZmtMqywmMgVnkiWarh+fymES1vsie8HMGoutVF4MqBrpc1SwbRYkBJpungXIKiqMmqr4KleLU4BwC4QiKHWYpo5gimmWlBKOeUTx7kcyRK5pF04rC6OBeDdrFusxRUw2m3QEc6iXz8sb22Gu0HD0z5O9K9xI5WNAp3iOPnh7BjCeIKpcVV64vTbleHwB25ZEDtievngXQLbODaBSNGlMFzVaPzVpgM9oQEkLoF0slyvOt0mF1bhAIuONdZgk4jkOdy4gyzJAfuOowIq53ijsSxPAXAORyUlk2arGxFSNDlWf9DDyHUqdFVoZUJyMcUjMepCiXeQzQ1m5hbgHgPYycYYojFWuHxWjAFS3FqOVFMqOwQSr1UmM8KCO8KDZVu9BS5oQ/FMGfT5I4hs7tdBQDACEGqNoo6KpniZR0D6tAtM9AjbMGgsCDM/hR4hK9Euge7p0C/POwtitrWdhU4sAG6yQMnICwyYGTM4SUUVNGAMSe13IDwkhEwBlxrWZrNG8A8sWSQBVrXqHDjLI8C5o5Enuc9JOM+7bagrTWDUBqWdg1TroOHe8xkL1R8LPSNuaNEGfNCw4OIjI7C85kgnUdId1ddhOKHGZGKg4KJfAEwijPt0hEiUJQwovGfJKJN5lvvz5MDvK3dFRKMnSmGFBODJQ6LcTcUkYq/vfBXgCpm/BS0PWBlocCwPi0HULEgGAkQMqt6Do926/Y060830qUUGGRoLO60O8lczqVWn3aacPQStbecu80JofI5xGJCEtb1RqMEvGscP2g6+isNwBBfE53mJAZidqUK4FqYoDjOHz1q1/F+Pg4Dh48iOPHj2Nqagqf+cxn0hrImkEqigEx+z0glOLC6DyO988gHBFQ5bKmLDWrcFSQ4CcSQlEBCei7xxeYqdW+lmJYt+0GAPjGgxBC6lzc6eS+JJShd8KNi2ML6J5ww2zgcW1bbAkUXbhiBZpylOaRhSciEObwl4cuQRCA/etKUF9dKUm21PoMiNKjPqEcA9OkN/QX/kg2yNduqUrZtTbPnIciUWrr58Yw7QlGObiTmttoOXCUCY05wUF5qgc8BMwJNnR7oqX/JU6S2YkFRYoBcdGaWPAzomFoVmZslaIsHwBqw2Rz7OPJ4VFeu5rOJr2jqgFC2AJwEfz0lVcASJtITaFNRgyoUwwAwM5CsoGedOfjpZ4pxf2x6byuq2iFuaEBwFKpJs1IPXJiGMFwhCkG6osd5HM2mIFwQHXZhmGWqo3K8NS5MWYy2piGvwDF3uZyCEFCTJ4c7UTnuEwxAESXE6iB+PgRoRBHhrzMkTod40EhEID/AiGDLhbUYHjWh8kFPws6N9UsVgyoXDvCIZSJQcVxTzGO0Fay9YXaBJ0RO4QQmWcv9Z8HAFzRIsr3UywlAMD8SXoiFXjy3BjCEQFtFXmSoVoCxDIepKiT+cBEIgJ+eYiM7U07a0kW1CUbs8pSkw4zIWDGLfXg1pM2cc0zg7j7ysT7RjLQbPXQtJ8dVHpnegGIQZi9CLCLZIxKYnGjcx48JyDEWwFHCSvJqlAo+YxHeDGPAVkpwZL61VR9BvItkgloQQNTi1ECxavAAycWaN30cxcnMDQdZnJ93jzBMoKpOIsDwD1Xt7Axz1mrWdeYGjWtCuMYar5hGzmM/vboANz+EDM8ri9apBiYUS4HBsj+scVB1otLKJeMB9Mo9aLYLfMZmHYLEALk/6we25ovlQRO90mKgbNno9rqLgbPc7iqhBC2M7Y6nBdJ4TaVxoPMbFo2r+WKgd5JNxb8IViMfLQvVYpJiY4yMyO7np8m7ztdRRcgUwyML6B/youhmSDbG1k7X0rgTsae07T1p2X9+qiYr7HEwYiB4/Pks7luQ7lqSf7ieU2VLn2THviCYfxBVHS9aYfk+4QSkRhQQSpyHIeaQjv7nEcNFTjYPQWzgcd70lyjF7csfPr8GOZ9AiJBsi73zPYQfxKTg5gmKtwTzUYeZXny9a6eJe5SaVVI1+uq8hb4ykhsF7l4DgAw4fYjFBHAc4s6/6g0IMy3GmE3G1CKWXBBN8DxOOcj93c65bhACsQAhdPpRGVlJQoKCmCxpF7Xt+agcqODIESXEozO4xVau9qQmr8AAPAcz4LnimJRsjU4x0wN960rhWXzHnC8gEiQR/C8SgNCGTHQN+lhLPv+dSVxTTFoZjUZMcBxHAs8O8cW8NArZHO443Jx4ZXVzamC+LfpFcrRP+3Bk+fGyIJm5HHfTa3qrrUIVOJOWxb+5zPdeO7iBDhO9IlYTAzQoCtZNkYM9nqESgyJJQ8XRsmGraQjQSLFQJHDDLORhyBIPguSsZUt9axf0Isi0Qn9Z11WXBJrpgGJEU4VJXlWlFnJuL7z/AuYXPBLpQQFNqBUJAYmO1W3LLR5yMY5KJTiB892KzIeBKR53ehqjCvV3NdSgmKHGVPuAJ45P87GXF9sJxkSeshWGdxLaqNSPHV+PO3+2HIUOy2wiV4cfzl/ElPuADhOyp6kGtxLaqNSHO+flYwHK5MHnfHmtb+zE0IwCN7lgrWWBD5/OjmMBX8IVhOPFjrmFLN+mBuAQQjBLxhxeMqqmb8AQO7DQrsJEbH2fUEYhsNswBaafSlIcb0DUC6Wkp0JlOHR04kVXYvBMqv5S4mBKlG67Q9F8FLPFA52T4HjgL/ZJa4ZdO0ILKhyngeAJo6M+RJfi2cEsgdudA+zg1uqoMHUxIIf1Q6yHi8II6gtskmZrlJxHxhXRwy0Wcl7nLOUIxgR8JJowluh0BMh3ryukpUSCIIAfyjM3L8lYoB6lKjsapIXgIMj15qzlkvtZMXX9J1OTTGwp7kYV64vhT8UwYd/dQyVdjIXjJYJSUGRQp0wvXazkRxIft9nYsq/ZO1k5YhHeL1enF8Hu6fwUg8phXPZTHCJbS6RL5YEhgOqu95sFomBowuFMnPY9Ndouc/AY2dHmfJoYEG2VshiD0tzMziTCZG5OQQHEzvR73CSz+ASKqWOBGoVAzHmdVtFPngOmFgI4Mlz5KC2oTIfRoPsuMJKINSteZe7ZkhpnSEPz4gce6rluHJQYmBg2osnzxHSJU/skMSIAZaUOB/zGvFivoZiB1rENe/xUfI6N1CpvwosJQakcq+/nBrBvC+EmkIbU5kAkBQDcwNAwAOlqC20oUb063pyhNzTb95Vm5ZnBiCRt4PTXgzNePGRXx0jPxdL4bpnusWWhXT9UFdOQEsYPY4aHOgk60gqSmH6N6931SPcTD5DWy9Zf6nqtjTPApN8Tqs0IOQ4DhUuK+pEtZGQX43+2ZD4XrJcShCJRPC5z30OLpcL9fX1qK+vR0FBAT7/+c8jooIlXbOYHQCCvuSPo3CPAyEvBHAYEkowNu/HE+JimWoZAQVdIBx5JEj51Sv9CIQjqHRZ0VzqAGe1w1JCpojv8FLDyYQQJYCXhDL0TrqZv8DNHbGDzmAkiEuiYWEyYgAA6kSW/ofPdmNiIYDyfAuup2YscuZe1ZipYqACfZMefOlPJKv77isaVWUcYkFuQPj9Z7vw1b8Q9vAzt7aTbOWijY4FXcnaQDFioAKnB2fxdz99GR996DgAxM36hSNh9lknUgxwHMeCy3c/+DI+/r/HWfa9ssCakmMtfTwHAXNw4MiUCW/47gH8VTyUpGuaAgC7a8nG6hGG8InfnGStfWoL7aSWy2gjfg5q54d48BoSSvDkuTE8cZbch4lq9cORMJOVEWIgtlTTaOBx62YSSHz36U6EIgIsRh7leYuCe7WHbJFoGkQpzg7P4UXaukqDoBMAqp0kqDxwidwrNYU2yT+Ebc5qFQPk87oklOHs8ByOiy2lkikGBEGImYEC5LLnDdgoSlL/52VCaLXLg86U1w7yHvuFMpwb8+DwJe2IAYCQLWE/zayO4vKmYimooGvHwoi6vSXghtNPgooDUy48e5EEckr8BSJChKkzYpV+mQw8O2jf/yhZ665aXyplMkw2wCEa0KokFitD5PGvuEvwoxGSWaudGQavkuhbjAI78QIAgLOXyIHdbJ3AD9+5Uyq7SRLcx8M6MbC/EK7ETV9/Fv8rynaVqGAAWaC5qJSAykm9wTBe/50DeO9/Hybjlpdk0ayfSmLg7SIHMioU4LXfewUvi2UmVQU2hOfmELwUXZeuFBzH4f43bobLZiKGxGPksOPMm5YUbjRIXhhVVRLIhfwojpA17kenIkwRpNRPRRAE6QC1iPCqLrCxDPw3HyeKswb5HhslB1a35tWC7H9PjTnRJSoJG4rTX6PlPgM/P9iHSICsIZTUAxAVe3BmMyyijJ3GIPHQIqoOTniLmVpM6XymYC2TZfPaZjYwcpkmfWgbQ2nMqfkbbbKSPbsHVRic9YHjgM1ULZYGih1muGwmCALwC1EdVS/GfIwYKCXGjhiPQwzEMZtuKTYxk9iXFspgMxlIC0SVoJ81jfvpPTHvD+GHz5G44vbtNdFKBEexpChRcciuLbKzduUHpxwwG3h84JoEJbEKQRNHQzM+fOiXRzHtCaKjOh+3tG4GIJvXKSQlqgqkFuu/vGjAhdEF2EwG4omjEvKyDbo+Oi9147Xffp6RGUvUYjT2UBEv3batmpUhnXAXMp8ntW0sF0M1MfCP//iP+Pa3v42vfOUrOHr0KI4ePYovfelL+Na3voV//ud/Tmswqx7mPACCuk1DDJK5/CqUFRA2lgbK6Qad9ADOia729Lr7WkqY/NUqLsi+UyeUXzjgBtxkAR7iyuELRnBuZB4GnpNMTRahf76fudNWOJJnrOiiRmti37KrTgruU82giX+XXqEcgzNedI27UeQwa7KgSX1tJ/DICUKS3L2/EX97hbiAyVh7QRDUKwYileid9ODxs2PgOOCWjgp84qa2mE8Zcg8hEAnAzJtR5UjcSYSWfVwcW8BDrwzAFyTkX6XLCpSRQy7Gz6urfReDamvlBmyscmHSHcBfRafddBllgLTiAQCDdRyPnyXXdVqMyLcZSQseZqijIusXCrCNsXrdVgBgWb9E2aihBfJZWwwWVDmqZFLNpUHXa7eSjBQ1IKwrskubdLF4+FKrGBDvAWNRAwDgxABRB6XTkUCOjjLyWU4HyMGHZd4BWZ1waoqBSWMlQhHJ1DBZq8JRzyi8IS8MnAE1zpqo33ll95O8hhWQGQ8C0WojNUS3rAxpfN6P8Xk/TAYu+tppgLQsFIkByzj2ygNDexGRTgLqSk3EMU8LThyZ4OELRlBTaEN7ks4PADDsHoYv7IORN6LaGTtTTzNSdD6/ZdeiFrR0nVZJLBa5ewEAT00UoNdcAK/ZBi4UhL8rhTI9GYgEVmw7NkTGvq7aF33YYYoBdcRAbYjch694ytE94UaJ04wvvL4D79rbkPS5075pzPrJfbuYGLCaJOXI8YFZPH1ebNVZZJdKWORdTVSUbWzNI685ylegd9KD4+LaUVVgY6VQpupqGAvVxyHl+VZ86Q2bAAADY+S+ttgkx3/YCgGbqIhUEy/N9oODAC+suOS347yonkum6qKY8E5gIbgAnuNjtky+bRtZV+hnUbf48J6K4kgQYBON2s74ipl6TotSAkDyGTg3Ms9MTOnBBcASjxJaGhJrj5KjLEjW/OPuYgRCEdjNBsk8UgE8QQ/GPCROXDyvqZ/ABbFEYck6mmL5VCOoQorEoa3leWm1daPgOKkbAx3z1gpCsFACla0ds/2Afz7q+VEx3yJioMMyBiMXwZxgwwiKcOX6EtX+QLHaU1tNBtbFhe6Fb9xRs/TJKRg21xbamWJgQCjFWy+rTfuwCpDsvYHnEAhHcLhvGnkWI77ztu1oKSTxEZvXKRgQVsuIgZ5wCS5vLMKf/34/6wyhFPI2vk2uJpTv2EL+PTOAEwOzrDV8+2IFJCu97FX8Wvdc04L3bibnnjO+YqYWy3opwU9/+lP86Ec/wvvf/35s3rwZmzdvxgc+8AH88Ic/xIMPPpjWYFY9Usmw0sxVQT3WyRy5HWZD0kA5GWimxy0MRf1837oS9m9rM1kofBfVkxmwFsBVKF1rT1MxCuMYy1Ejq1gO17EgN/TiOeAtl9VKv2TBfa/yMUfC7PHU2RMAPnz9OuRrsHHIOxMAwKs3V+JTt2yQHiDb6EJDQwjPzgJGIyyt6xNfWDwoDhqqYTJw+JudNXj8o1fhe2/fEVcxQDequvw6GPjEG8xnbm3HgU9ei++/YwfuvbYF128ow303tYpu6A0k+x72q8sKizJcc3kbHnrvHknpAcllOx1Qwqu0aIb9rKZQ5l1QkkJwP3mRuCBbXHjztZdF/SqRx4C804aBN8AiGhAG+y4hPB8dHGyvK4jKbNXLg85UWxaKgVNd84aoH2ulGLiygVyXNxPZ3Tp5jWkKzuLk8b0AAEOxlLGzmQxJs340I1KTVwOTIfqepdkY28aNSw6+HfKgM78G4AxkTi8od7ym73HSLB2S26tcaRs8UpDOBJQYGMUVLdK6Co6TBfe9yi8qzqUeQVrvbmyvULT+0gCsPq8eRj6294r8vihxWnDd4vZaZSJxOZa4NVoU3JMwBYgao1uoADgOJtpiLUmGUwloQEUl13Ph6L0xVfPSCh9ZB7q5OtxzTTOe+tjVePvuekWu8zTjWOmohNW4dH186L278YcP7sMP3rED//rajfjgNS342hs3Sw8oqCdzOuhW5eJO147Wto3YL4sJqgtsKRsPyvHqzZV4w7ZqRMRDWsS0qHtJKoojMfYI5tcCkD5bpeaDdF7XOGtgNiyNVW7ZVAGLzLenfvF1UyEGFsbABd2IgMeA6ITutBhRmqRdqFJQlQMAVo4URQwsSqQo7UxgmqGJFLJ+rC/PU1X3TrO7RdYiuCzRB3/qMyD9Pw4xoLLki3Yk6IqQhMg2DfwFKOQeCBYjj331ZG9kWWx7Eal/B5asH6GhIYRnZkjMt35d1O8aBUIaXRRqAMRPriUC/XuX28thN8lijCJpzHubi2PfJym0LKwrMKGSI8qdUUM5PnBNi+oxx4LRwEdJ++9/02bUFzvYWYbN6xRKkZpLHcxj4JrdO/HLu3erJgUAEocIEFBgKUCRtQiFWwkBWrMwjgf/ph0/fOdOPHDnTvzzrYvWTpUeAwAhpFrFDl/GEvKebSZDyh3UKFQTA1NTU2hrW5qJbGtrw5TMaVtHDDB5SwrEQGE9a7cCkAUtquYqBdAD1Li/H4CUSZAHnayvbd9EQjOaKNDFurAh6saKV0YASIunkjICIFoaeN2G8mg2MhU58NwgqQ3kTeBdJLhvKnHgrZctzRqkAtqvmTdPYFdDIf7fm7ZEb6J0c54dgPf0KQCAZd068ImMBwG2WH/y7bfixU9dh6+9cYtU4x0HSvwFKDiOQ3WBDTdtrMBHb2zFj961C/fQRZ7nJRZ8TEVQTmW4pevhsBjx/XfsxPuuasamaheuXl+q/DpxQDcJjzCM5jIyT6IY1FQMCEfF91e2Advqi3CZzN8jUTZqcV2fsbAQpioSlPjORh+IOI5jJoTAIplqUQoGYgEPU+5s7pAOChYjr0nJBgBsrSCfJWeeAhCO7mFN70PvtLo6cnH9KKiWSLHWiuRBZ1zjwVAI/nOiSqW9fUnQuUkuJTUYJZmqGsWReHgJuqTM1w4tg84yByJ+EhAazBNoKl208aeSQRPn0qhRyhIpKSMAZEaxCTrIyA9Nb9xRE11PCQBlYmZM1dpBAuoBoQReWHHV+lKUbSNzO9lBRgnaRNLo+hYStI17x+EOyjoQ0PVuqhsIB5VdVBDgmCWf9T/eeRvuu6lNVZaSkTCLsqoUFqMBm2pcuHFjBd61twEfu6k1+sBjNMuMz1SseeL8t5Q04sG/vQz/9OoN+Lt9jdhYlR83u6kWn33tRpSayf3mFUYRCMtcxFPxGRCDamdFC4sRHGYDCu3KPu9EhpoAkGc14UaZB8cS8j0VYkAcs89WgSAIydZYkl6HDTmozwAAhEViYNg9DE9QrBlfVMbIiIHTZ+LHfAEPiZkgEYtqE1W0C1VzwVJFZrtsjTYZOKxfbGpIZfnTvao6hBinyH3YJZCyvW1imYUWkO99O+oLsUEs4emf74c/LHaBiKM48lKz6XXrwC/ybCv3kflxIVIDnkNc8+5EiDev5fP3TTtjqAWAlFoWNhrGYeRI6+8bLtuc9kFVDvo5v/uKRtzcQf6OtOxnyjdF1FU0XlKxdrx+axVaTCTBcd2ey1WbO1J0zZDzXZOrCRzHwVhUBGMlGeeu0DhuaC/HtW3lSzss0bXDMwn45pS/oBh7vPH6/fjBO3bgx3fujGs6rhSqn71lyxZ8+9vfXvLzb3/729iyZUtag1n1YAZiKogBGpwW1EVl47SoXa3Lq4OBM8Ab8sBiJdnLDZX5KJEx1ZZN2wFOQNgTQmhUYT9yOTEgZj05LnHQyVoVKiUGZAva23cvCpgKGsRx9CmXTtIFpLABOxpLwXPAP9/avjSYTRG1zloYOAM4PoBvvK1paSYxrwIwWIBICL7DLwJQ4PbsnWE9V0vq26P+bomgpCOBYpSJYxw/p/w51LhLzNwbeA6fvKUNf/jQvrT73AJAtbMaZt4Mf9iPf3xtOXbWF+KO3TKChzntqsj60cNLOXm/1F3XbOATmjzGMtS0JGgJJScGotrcUcXAzCXFLXjYIdGSjw0NtWx+NJY4Ut70FqPMXgYDLOC4CDjzVDQxYHECDjGIUZr1CweZHL6mSSKgNygwHmT+AouNB7u6Ifj94J1OmOrqUJpnQYmTEG5RxoMUqbQsFN+fqVTKjGjlLwAQxYAQckGImAEugkH3opKBVIgBcc1bcJL3W+QwK/atkSth4kE+f9+yq3bpA8R7CaOnFb0mAHbPjpjqYDJwuO+mVkn6rAExcM81LXjgzp349lv2ochKyD9WIwwQgzmzk6iHlAadc0OAfxbgDCiuV3+QpoFmrAOUYqRiQEgPL8XNMPAc/m5/E/7p1nZwHCcjBlJXDADEvO9Hb78ORtggIBL9WadiXioebvmiRrzvKvJ5NZc5FR+yY7UqXIzbZCaXmigGxPdnKm0GXZa1UnQB0T4DCDtQYCH/vjQvrhXyUgJBgKW1FTAYEJ6cRGhsLPZFRTLDb8zHNMjarNZ4UH6AWoyNlRJZ21qRt/Sg4ygRs+8CMKYw9hAENv+7BLLPatGRgEK+9+1tLkaxtRguiyvKj0XyGYgec6L7yTRF7sOLQg121BeiOAUlSbx5TedvnsWImzdWxn5yCi0L64JkTl9EHd5/9bokj1aHz7+uA//vTVvwqVdJ8YHdZEe5nZwvemZ7JFJx5pJiAtcSmIExLLZ9dcXYrxQi1nrN9qhEqjZrPmAXSwRTIBa5okbcuLECe5tLkjwhOVSfer72ta/hgQceQHt7O+666y7cddddaG9vx4MPPoj7778/7QGtaqSy0dEJUhCtGNjZkP6CZjKYUJtHboDKEsJQySWDAMCXr4fFRUydFAdeMmKAlj/sqi9CWZ66A1Qi1BfZsbe5GFe3lmJ/y6IboUCUEQbdgHtC2Zjp36SoCV98Qwee/8S1uCYFZjYeTAYTq8Ud8sQwzOENrGbfd/IYAAUyTao8cVYAFuWbshrFQFJQnwGlWb9IWApOS9cnfmyKMPJGptAwWifwv+/fi2vbZKSU3EBMKXFE5c4iEXJtGymp+PJtmxIqd+QdCSjo39V/dqmEuqUsD9vFIG5TTYH0i7wKsQVPWLkSZkw8cJWsA2/gcXUryRZpGXRyHIcyK8k08ObxaGIAUF9OMDtA3qPBgrZ10vxQYmrFMquuaKKQBV0bNoDjeXAch3ZRmrrE7RpQH9wLkm9MYY005u31BcqerwA1hXaYDQZWTkCJVIZUytTofShmV65rK1OsQkuWWQWAXQ1FKM+34PbtNbElmVQxoCbrJxIDGzfvxKMfvhId1S4pw3nuHISwCq+TGHBajLi2rRxmo9S1hwX1AGG4KbGotBRpXLzPi1sAo/qgvlNUG2hDDCicH4IAjJwk/67YHPWr8MICAr29ANJXDABAR3UB2kvJZ9o1KxtfSooBMi4U1OMtu2rxxTd0MC8DJVAyr/evK0FDsR15VuPSdUmlszgAiVQsaWJkYioS5kSgPgOVLiuLsZjsmh6C/HOAdxq81QpLM5lrvlOnYl9QnEfhwibQko1UiYFY89plNzG/go7FZQQU5eLcG40zxsWYHwYCC4jAgEtCOfKtRk06P1DIlZp7movBcRyaXeS90fcaTzGQsMOHSHxcFKpxXQplBED8eX1NWxmMPIe79jdKpsGLIW9ZqDBesk6S91O/8XJNkj1y1BXbcXsMBRp9bz2zPWK8ZBfjJYVkOb1n86oAU+pjpjGffF7bOjoASLFIXKiNPfzzLDnI1h4NoJoYuOqqq3DhwgW84Q1vwMzMDGZmZnDbbbfh/Pnz2L9/v2YDW5VQa8YlCFI2pbQNLWVO5FuNyLMYpfZJaYJuEq21XjgtxqUtnwobYC0kjJvv+BFlF6WTuqgRt2+vwUeuX48v3x5/c45yAi5QNrmNBh6/uHs3Hvzby5ZmP40WIF/MvCo9RMmIAYvRoIkJ3mJQKWhUfZ8cFZsgCIDvIhmzLanxoLjZFKur38qIYkBpnfB0L6nfNlikzGwGQOf1kgMUIH5eHOCblRbVZKCHbPH98jyHe65pwe2xzHpERM3rGMSAN84m8YN37sT/vm9P9D3OcTIDQoXB/TDpToFKouS6e38TttYWLFXYpIlWsbatptS91I+DkaEKiQFZ6ZTLbmFu1EoknxdnSEajpSD6fojl9kzJl5gZcrWlSAujQNADcDxa1m+EgeewrsypidkShYHncFNHBUwRItulwQcDvQ/pYU4JRGLgqr178Hf7GnHfzcpbsiopJSh2WvDSp6/Hv71pc+wHOEvFzgSCcsWRSAzYKtvQJAbi5sZGcHY7BK8XgW6VRpcJQNfHqCw2kNRdfAkYqbgh8ePigEmuXVlUDMxcIioHg1kiUkVQQtNYWQljUeotk+Wg7y1qvU7JY6CXfC9sAM9zuOPy+mgPkSRQQgwYDTx+94Er8PhHr5JaFVLQtcM9rrybAiVNixrxiZvbcG1bWWyFTRp41aYKmI08rmkrY/OaxSFmu6TsEsdC18q4BxlxHlnK16HEaYbDbFBkWioHJYEWr9cUtFxvZ7y23IwYUKg4EtcOX14dgjDiyvWlminnAELebqlxob0yH5tFUp+uj50zNBmyVDEgNx60LSbaQn4Wm152+V68a09DSmOLV2bXUe3Cuc/fjL+/LkFWv6gJ4HggMA8sxFGQLMYIIWtcDdtSGG1qYMTAXE90y0Kl8RJbO9KLj2IpYZLeTxTMgFDhmkfHbCsErNoYHQNAbNegJKiqqsIXv/hFzQaxZkCD5LlBUqNlTmKIMzcIeCaIcVB5O2wmA37z/r0QAE2cVAGycD3Z/yRqyuZx6l9vWvoAixPWcgtmewDfiaPKLirbnK0mA/7++sRSolHPKDwhD4yckSkY0kZBPfn8pnuBmp3JH0+DjyJlioVUUJ9fj+cGn1saaFJUbkHI+3OE532AwQBLDC+PKNAgr1h5wDgfmMeYlyzu2igG2qSxhAKknjURqHy/ZB1RSWQIdFGOykBRmKxk8Z/uJeNxJlGG+Ocl1llFcD/pm8RcYA4cuCgShhIDge4eRDwe8PbodaDEaYldFlLcQg5+SoP7YbGTiJjxa63Iw+/vuULx+JWitagJTw8A+9tjZBMKVRIDsrUDAL77th3onXSzQCse5gJzzOF6cQYqlkzzvVc2ozzfylpERo9ZZSkBfW+uGjSWF+K379+LYmeS+yAFfOut2/DDE1fgP46+ImWgKETyB9M9pMTIVpD4Yt5pUssIoKy+Hf+0PrEviRxyh+vFLd1iIaGMu6wd6HmGeHhU70j+4mz9kA6rnMEA64YN8B4+DO/p06zdWrpgRO7cormrtmVhGsSAO+jGsJt0sclqKQElmErblqzpWhgPLgZ9b1Hzmu7Fc4OkDWeyLJ4gANOL5PEq4Al62GedbF7HM1GG1UWCdO80IRbLFSgq6PpR2IidDUV44E5tyBY52irycfifrofNZMDPzpKWllEJivJ2oHuM7BnVO2Dt2IjZ3/0uLnlN1YqGkhY89N49CIYFFNiVr3m+kA8D86QcKp5K9J9ubcf17eW4WebpEIVykoVVrBgQa+TtlW347Zv2JvViUgsDz+HhD+6DIAhszaOkByNymTdCHzsDhEZHEZ6aIjFf6yJyduIiyXpbXPjQa68kB16VCEaC7LOORXglVYkZLaRUbbqXlBPkKVAt0L8J/RtlAVGKAYCct0ZPKU/E0r0ljTNAIBxA/zxRBMciBgK9vQgvuGFwxlGqqFUMyNYOLaFIMXDixAnFXzoSwF4EWAvIv5UwQjTjV7aB9H0Gcf1eYsSSBlhmdXEGSgZrA1mYfecV1BhFIrKsX4OiMdAsQW1+LUy8NoQHu7mVZnWyQAzQhSvmYRUAKjbBN03ev6WpCbw1SSDEiAHligEaeJXZy5Y4AaeE/GrAkk9qbpUEnTEC+0yAMvVx5zV9fSXzg9Yw5lWSe1gh6AZV7ayGxSAd9E1lZTCWlQGRCHznVHgzMEMdBQy4IAAj4npcGSdjqxEo6THojiHZU1tKQDdxUU1SV2zHlQoMKekaUmYvQ75ZylwJ4TD7jOWKAZvZgLdeVhebYFW9OVN/EnJ/b6ktQI3C9mhq0SIeoJbMa3sR4BJ9BpSoBibF5zsriBeECsRzuE4JTHGkoBQp6JM8d0qjA2hFNZwq0bC4DzmF2paFaRADdL0utZWmt17TPWK6V1nNbZwyAkDW+jNNfwE5YsYh9mKyt0BQpt6Z7ScqB96YUqBMS+wKLYUooHFaKlC7fkxnPvYASDLJaOCXHqAAoHIr+T58DICUuY5rQEjXj6JmNJU6VZcR9Mz2RDm3x0KRw4xXbaqMn9WXlxIokbhT87ySddheVwiXTaNYcxHkRChLUFDCy1Ei1pELrGafEteWlpalMR9VFpS1pUQKANGtwGkdvmpQnwElBoSeKWZMqYgY0whLiQGVBoSDoiKa3gspoG+uD2EhDKfJiTK7lHBiBoSCAH+iNqBqS5Fk6mwtoYgY2Lp1K7Zt24atW7cm/Nq2LXuykRULNf01h46R7zQblAEoIgZa1wGcgNDUPILxzGgo5oeAkI+oHPLjy6zlUOsvoAhVW8n3IQXlD4IgKyXQ9gaTg7LHS7J9FOUb4ZsSTdFaFWSHUiAGqKRtXYFGhjAcp85nYDxLxACto5zpiR3YqOlMQN+XysA+kdyaScvi1XDGgpqs39wQyQhzBqmWO0NgtdhiYB0Ftb4qdM0rV3fooPN6sSw10NMDwesFZ7fDXK8wi0gPFfPDpNwkGbIU2AOIassUjiyqp6cE0IgCgn4qtTIk+tqARuu1GgPCqS4AAsnKOqLJIlsq91MSyImBqDWEtjuduEiI8ESIRGTBvfqDNJOlJijZUIS8SlJzGwkpq7llxMDSEsCE9dApgioGeud6EYyIxAXHqVs/BkkmHOUbU6oRVlJGoAhqiAHfHFPuZDL2kIO+v965XkQEcf6yeOkYABC1osGA8MREbNNptn6kNi9pcqS5oDn17gsl6wkJ5JuVDqKJIFcrZgl0XvfP90sdNxaVIjFFW0x/gbPRz0kB8nmd8metJvagaoGCemKolyXQ/WhgfoB81qwUSWEiZUhURFdvT3kMdF43FTQt+awpkRpXhQNIa4dihWUOFQM9PT3o7u5GT09Pwq9uDev7Vi3UZP1YjfDWjA2HbhKszUcM8BUtsOSLBoTJamQGXiHfy9tJ6y8FyAgxQGWpg4eTs8nzI0DISw5R1N07A6CbxIh7BPOB+aUPsOTB5yZZIWt1kiyeIKTkMUAPUGnJUheDEQMKfAZkrQoziYb8BvAcj/ngPCa8MQwo1fQjZ8SAukA40by2diisOZODkYoK1ll6OCxtTctIRwnoGjLhncCMbyb6l/JDdtCb+EKRiGxzVlD+I0M8Iysme96wAZxBYemKvUjaoAcVEItZIBUp5B03htxD0b+kBDLdNxKBkYrq11zNDlCAupaFcrXR4qCLmjtpYEBIUZtXC57j4Q66o9eQwgZSex/ykix1Isz0Ef8Jgzml4I3O63h12IrB81LsoYQMjUMMRDwe5uOwpB46DVQ4KmAz2hCKhJgUF4A6XyZKDCgpSYkB7YgB8flK9hYa2NtLVBkIp4MqZxVMvAn+sJ+VTrAYc/Q0EPITA8IWMueW7FH+eeKrAkhzSiU08c0wWqR9XAmxSNe8DCcl5Ci1lSLPnIewEJaIc6Y4IoQhI9pi3U+MVEzNnwSQ/AXSmtdqWhaOZL+MACCftcPkQFgIkzWkWIViYHaAlG3zxrRUDonmtUReJyIGxL/RbD8QDiV/QaZ0zgExUF9fr/hLRxKoUQwsMg/LBOwmOyoccQytKIoaJQPCZFLNgZfJ95rLFI8hlnN72ijvIAZ33unkCwOTL9cChszIywDAZXExeVE81YBvkhxe6OcdFwujQGCBmMIoLNkAgM7p2JnVtKDUgFAQlrQqzBTMBjNqnESxErN0IwvEQKJAkwYB3kSbxGJQAmhugNQnJsIif4FMwmFysI4b1ACQwV4EUAl0sgzaxAXijG2yq/6s4ykGEmZjEqFmF/lO17NEyEIZEoW848YSY01VxEDqigFN1+uyNgAcMWtbSGIEmkBtZG5o0NyA0GQwsTUkam80GGWH7CTrBw3sS1oVE+VyaNKRgKJEYdbPOw3MiqqCiujg3nfuHCAIMJaVwViavMRHKXiOj20Yq6YzwSAlFXNMDFSJylmaJEkE1hkkO2oBQFxDFhshFzaQMtdIkO13cQ3T6N/CXpLcyyQO6HqdthJGaWeCgFsi8bJIDMTuTBCtGPCeSVCao6FiIC1PKTUtC+nfoiK7xADHccwbJKpl4XRf8vIpqiyWlW2ngkSdNhQZEOZVsrblSeMlQZD2+jTmRyxo06Rdh3IorXuZHwEWRsjBL8M3GL2ZYjq4A0DZBliLRGLgZJL61f5D5HutcmJAicO1ahjNkrQ2WdZP1pEg06AS/iUHKACh8XGE5oMABFjNMeR7ctCAoqA+ueGfDKyUoFBDOR3b6JIQAwujYj9vPqUDiVown4FY85oGB7P9yVuljaZWSpBIMUDZ40B3NyJuha3a1HiUZMlfgILOa+a+TMFxQFED+XcyMpQewqu2qT5ExVUMsGxMhoiBSFjKomRh/QBkDu6LiVxKDExcSE4cLWpVqAaaKgbMDonYTKYaSCAFpgaEgEqyLQko0XRxetF6TRVPyXwGUixDotBMMQAolwOPyKXA0b4GNNulZRkBRUIDwmTxUiQsqY2qUpMCx+v1rho09hk9TUoFEqFfXF+yQODKsaQem+OWlBPElT4zUjF1sipWS7eUoLQzAR2zrUiVT5AWWDKvZYqB4OgYwuMTAM/DuthsOuiT9vk0FAOazGu65k73EZPpRKBqoywrBoBF89pZARhtyloWprl2UCRUiS4yIIwJnpfuw/6XEr/YxEXAOwUYrZqvHzoxkG0obTlGmaCS9SR4yiCSGrWVd8BaTg6f3pMJslEhPzOvYYF1Esz4ZlQ5XKuCvJwgEehCVqzhYTkOaIBHM/dyUNmzOT8EfjpJkJyCv8C0bxqTPlLPqGnZBs3uTvUkPpDQILqgPuPydiCJf4ajWDQBQuJAeWGcSMzAqWJlPUEPRtwjAOI4AZeWwlheDggCfGcVtnoElAf3WVQMAEBLYZwDFCDJxQeTZNDo71Vm/Gb9sxj3kmyzXMInRCLss1Ute6adTAZeTlyKNHKCtHGy5GvO2scDXa+XqI7yKkjbMSGSOFBOsQwJIK7LAwuJ3cRVgwb3iomB2GojWyrlOUlACdQlRC7zGUhGDFDjQfVzYyGwwNYQTT5rxcRAAn+BGK0/tULMTjJKW46NnweCbsDkWGJMqQThSBh9s8TgMG1iIK9CNE8VkhOLfQfI9/q96b2mStDPOorIjWdAeOp0tMcG/VukWEbgD/tZuUjahBfrTJDkns+S6XEsLCUGxLVgqhu+k8cAAJbmJvC2RZnqyYtkLbcWAM7UTAMjQkQizdMp28irBMxOcshOlJQIByWVVJYVA8AiYoDnlbc8ZcRA6j55oUiIlYvEIryMxcXKDAjr9pDvl15I/IKXXiTfq3eqSg4qgU4MZBt0MV0YSdznNgvGgxRJDQh5A6xbdgKcgPDUDIKjcQwIh08A4QA5cCnMntHXrHRUpu9wvRi0TjnZgaTnGfK9YZ+2rx8D9AC1JLMKWdBVGEye9UvDeLDaWa3tZ+0sJbJCCIkDZbo5pxC4pYKk85p1JkggBx4TA46ixuTtRWWgLH2RtSiumziri07JZyBBoOyZkkmBlwb3mUBcxQAg3Vc9zyW+yIBI4CkkFSlo4FPhqIDTLHlzBPr6EHG7wVmtMDeqDPbLNxEmPlkpUu/z5Hv93oy235Qj4bxm5QTH4l/APU7IDHCqJcx9c32ICBE4TU6U2EpUPTcuKLGYKLiPRJLWCKdk6JkEjBhYohhQ2JmAdjRJwXiQ/n3T7khAwYiBJIfsBB0JYrX+1Ao0mI5SeJVtAMARr4b5BCo6KgWu2pbSfTi0MIRAJAAzb0aVo0r185egbjf5ThWUseCblWTXWSYGYs5reihabEA4ORltQJim8WDvLDE9zDfno9hanNI1GCipOHGRZNjjQdaRINtgpQSU8HKWEyWOEIHvMCGGrO0xiLYxmb9AiqaBQwtDcAfdMPEmVoKWEjhOFnskIBYnO8kZwOwEChpSf70UsaTzF93fEo1ZI+PB/vl+hCKk+wMtz14MRQaEjBg4mOQFRUVB3eVqh5oUOjGQbdgKJEflRG2lsmA8SBGzfc0i8C37ZAaEcQKvAXETrLlM8UKWEeNBCnqTD5+IL3+aHxUZTi4rxECiAxQjBsothClOVLOfgpwvXh22JlBiQJhl1j5mzaocNEhIVCfMMn4qjQdnks9rtkmk4jOQKLin60phQ8o1oGrBCK/pzqVdIBr3k+9DR4lxVSwE3BIJQ7P1ChHPUJOVEbS1gTOqrO82mqW1N1HWr5dm/K5Qd/00IC8lWPJZK/EZoPO9oJYYeKmAJg7Xi0E7EyRSDMwNEhM/3hS3R32UAWFIgXGTAtADVOdMp+TgDkS3O42nKAmHJKI0jVaFmhnFUrJ+fihxUiKe8aDXC38XGVMmFAN0Xkd13LAXSeVQPc/GfzIzHkwtsL8wTe6J5oJmGLQg+Gg5QSI5cP8hss8XNgL5GpARKrC+kMzfqHlNJczJDAjpeliaXnlMWh0JKPIqAVshyWQnSkpM5pAYEO/fS3OXEAwHSWwsqgZ8J4myLybRNp6+vwAlfppcTem3AlfSspAZD24kGfssg87rrpkuhCIhSVHSn+CQPdVNSDqDJSUCl0Ie8/Fc7PcubwMaF3WXA+AImbGQoAscVQxQIkFDqP7LPfXUU3F/9/3vfz+twawZNF5Fvnc+Fv8xWTAepKCHl6GFIXhDcZzDG/Yl9xlIwV8gI8aDFEVNZNMI+6VDx2L0ilnMik1ZqT1rdDWCA4cp3xQmvZNRv2P9odeLn0W8tmOCIAVvKja6jBgPUijpR06za9kiBkTJ9aRvMnbHDSYHTkAM0CymhsaDFDYlZjSLQT+7RCoYunZksW61Mb8RRs6I+eA8Rj2LMnsFdYSkEMJA34uxLzB0lATJeVWqg2RGeLk0Mh6koARFvKxfJAz0iXK/LJCKFPX59TBwBriD7qWfNd0vErUs7H6afE+hnpKZhmWiFGnsXPz2fzToL2qKaxBrbmgAb7dD8Png18iAsC6vDmbeDG/Ii8F5WUu0knUAOMA3QxQYsTDdQ7JnJjvgUt/tRvMOMvYiqXwqXlekUEAmBY4mBvznzwORCAwlJTCWlcV4cnqoclbBYrAgEAlgcEH2WTddTb53x489tSIG6MEibdSKioGBV8g6EQt07ciyWgAg89pisMAb8mJgnpQGEU+JgsQGhFM95MDCGyXCVyXkrQrTBscpKyfIYSlBmb0MTpMzZmcC30VSvhKTaKOKgTSIAU3nNUtKJCAGRnPnLwAANXk1sBlt8If9uDR/CWi5jvyi66n49yFVC1RsSst8XMm8VmRAaCuU9sRLceKlhTFRycipVlgqgWpi4Oabb8Z9992HYFByeZyYmMBrXvMafPKTn9R0cKsW624k3y/8Nfbv3RPEeRzIinkYlTsLEFhrkyWo3AJrKWF3vUfjBMqUSU6BGNDUeJCC46R65XgOwTRIbrxS+9ePAbvJjpo84nQtVw2EpqYQGiKtg6ybxeAmXnA/epqY5hltqro/sANUYSaIAXHzoptZLGS5lMBhcqDcTmrzYqphWGeCBBsdVQyUq1QMKFDCMDOanp74ZjSL0XQVaas5fi6+xD3LxoMAcXBvcDUAkIKRKDSIQWRvnKwfvT9r1DuKM4O2RfM67XroZAaEIyeJmaYlP6skjMlgQm1eLYBYBoTiOEbPxFdJXfgL+d56i+rXPj9FDuitRRrew0XNJFsTdAMzvbEfo0AKzPE8LO0ki5mwJZQKGHkjC/QuzMjmtckmKRfilRNQkrS0LaXsmaYHKAoWcMbJoI2fIwdDawHgqon6FSOu2zdopxaRwcAbJCmw3D+DEQNPx1ZnBH3SoTDFjgSaEwNlGwBzHinZiUeW55AYMPAGaV7T9TqRASEtz+l8nHyvvXyJMaVSaFLzLkcyA8JIRFLY5YAY4DhO8oWhEvfSNoS8PEKzXoDjlhoPApJiIAV/EgrqjaKJ2TRTWCaQ5VPFQA78BQDS3YSqci9MXyDkt9VFCNx4JuQa+AsA0rzWJOajpUjx1mn687L2jKhCU1IM/O53v8OuXbtw5swZ/PGPf0RHRwfm5uZw7NgxzQe4KtFyHQCOsGtzQ0t/T+tDi1uy0tuW47jYxj9yGEywbRBZzjPnlkpYZweI3JMzqLrBembEjgSZKCUAZAaEcRYFKk+kwUcWwAwIZcQArYs1NzbC0CiOOV6pybk/ku/N1yquexcEIcOlBElaFvpmSS97IKubM5vXsdpD0o1usjM2mxyJpFxKQA9QiTZkY0kJjBUVyc1o5LAVSoHk+b/EfgwzHsy82kiOhD4DlHiL5zNAFRApsN+x5rUQiciIgVQVA+JYRk/H7lxB/QXq9qTUii4dxKzHBiQn+UgwdpeQ2UFxXeGAlhtUv+75aZEYKNSQGDAYJZf/eOsHO2Qnfl3bxhR8O5Igrs9AMgPCFNcOCk07ElBQMujM/8X+vbyMYNHhP5PGgxQx45C6PYQ4mhuMXSs8cpK093KUAq7alF6XEQNFGu1NvEFSHMUK7oNeSeWQASmwEkQdoCho7EYNCJkPzhkS83U+QX5PM7EpgB2gtEoGJWtZOHyUlCGZ7KIpZPZB72F5ZwLfNMlOmxsbwTsWGYwHvZJhXoolG4DGhBdVEA0dIfFcLNC/QXl2vI1iga7XF6YukL2FxvZdT8R+gkbEgJJOG8biYmUxH43xKHm4GHRNoQSCxlBNDOzduxfHjh1DR0cHtm/fjje84Q34yEc+gqeffhr19bm56VYcHCXSgfVijHKCLJYRUNCFI2a2T4Rl59XEgHDOE21GA0hy24oOxV0UFgILGHITYkQz9ngxEnUmmO4lpka8MWM3WCzEaoHlFcszrJs6pOzj6OnYB9Zzj5Dvba9S/JoT3gnMBebAc3xmyjao3G1uIPamQdsy5VVmre4dkB2gYhm1FdSRbG/YL7lDyzF7iWQxDWZVregWAgvMuT3ZAcoqOqmr8hloFf/u5/+09HcBjyT1y6JiAEjSmYAqBoaPE0O/xaDGg9QwVCGmfdOsq4mcXAz09SEyPw/OYoGlOcW1xVVNShuEsGQGKwedMw3Z8xegiEvkcpzMZyCG4ujio+R7zS7SmUMFFgILTOKtWWaVgnauGI0RLIUCEhma5BBlzURngoI4xAAjM+KopJZTRwKKDa8h3y+9QDquLEZC40GRGMhAq0KKmISXySYZbHXFKCdgZQQ7UjJp8wQ9zCVf03mdyIBw8DAh75wVWWtzuhj0vUbNa+qrIh6WLK2tkgHhYL+USEmBVARIVxP6WWdNMXDyf8n31ldlncClWJKgKG2Dd4oQA9b2GAf/iQsABJIIcKZWtuMP+9E3R0oVtFEMrCdxXli2HsuxME5aUoNTrbDUEkvmdcv15DtVu8gRCUvnrTSMB8ORsNR2Pcl6zWI+JQaEIydi+zL1LzNiAAAuXLiAV155BTU1NTAajTh//jw8niR9k3VEg5YTXIxRTsA6EmzN1miYNJRmOmOBX38VLC7RgHCxzwCV26qQtlMSosJRgQLan11rUGJg4sLSAyvNXlbvyIoyg0JuaEVBpa+2jg5iKGiyE5Z7scnczCWyWHA8sP5mxa9JJWW0tlBz2AqA/Gry71iB8pGfku8bXqv9aycAzUrEPKzyBqDjNvLvoz9b+nt6SClpVVV7Rj/rcnt50nmdks8Azfr1vUA6EMgxeprU6jvKSNusLCKWEoYhv1KsURSWsuCzg8QQjTNIUlaFiNdpg/Vb37ABnCkN0yXWtnBRcB8Jy4iB7PkLULAWs7GMNRMZEF4QiYH1N6l+TTqvy+xl2q/XzIAwxn3Q+TjgmSRu3k3XJLyMlSoGMmBAuKRlISWxzj1C2nQtBiMGUjAeFAkfzToSUBTUkcyYEJEIZjniGQ/6fPBfJO9fdetPFWCt3RYTXvTvTkv/5JATAymgc6YTAgSU2EpQZNXQZyiRASErI9iTsuN8uqDqiGjFwFbyffTMUgPCZ35HiHJnecrdbvrm+hAWwsgz5aHMrpFPRanYucI9vtSsLRIGTv2W/HvTG7V5vRSwhPDKr4ZvlrQntNbFIGhp7FGaekeCrpkuRIQICiwFKLWVpnSNKHAc0HE7+fep3yz9PfUXKGrKeIv1RFiS5GwW1S2Dh5fGSxMXgcACaXOahpJ1aGEI/rAfZt6Mamd1wscqMiB0VRNfGiGytJQx4Jb29uVCDHzlK1/Bnj17cMMNN+DUqVM4dOgQjh49is2bN+PFF+MYJehYivUiMdD99NJa0BwoBmhm89xUghrxqu2wFpMMtvfl56N/l4LxIH2ttsIM9v92lEg9halkiIK2KcySvwCF/AAlCAIEQYD3lKgY6NhEDqyUBV/sM3D+z+R73R7y3hQio8aDFDQAXqzOWBiTstvb35m5148BOrfOT59fWv4CANvE8Zx5GPDORP+OBskqA3s6r5XUYTMndTUt1ooaiTxZCC9lwUfo2pFdtQAgHaC6Z7qJI/BixCsnoGUE5e2qA4p4zu0+dj+lWetI17PFHiWjpwjRaM7LeskGIGXb6BoShYo4xEDAIx2sVJCKFMxfQMsyAopEioHjvyTfN70pacbP3FAP3uEgBoRd2hgQ0nl9ae4S/GG/9IvWVxH5+vzw0gzadJ+k3EmlVeFMcllqyqCqgbN/iP653NR20cHPd/YsEA7DQHtxZwjyzgRRXSCoHLj3OdLtQQ7WqnCZGA9SVO8kBP5MHzA/Ev07RgxkX21EQZUw/fP98ATFxF4CA0LvS6Jao+X6tA6rACE2NfOpMNul7kyLywn6DpDW4NYC6YCYA9C4q2+uj3Um8M0SItsqxIi5j/2cfFcRTy8GTYasK1yn3We9UUykdD0FuKPNs3PtL0BB1+sh9xDmAnPkkF26gRyyFxOL9ExQuSWtdsOUyGx0NSbtaqI45qsXVQOLDZsHD5PSqfzqlEunkkE1MfDNb34Tv//97/Gtb30LVqsVHR0dOHToEG677TZcffXVGRjiKkXFFpLVCyxEO096pshGAmSVGFhXuA48x2PKN4UJ70TsB5mssDUTQyLfMRmLFfRJQaiKGmFWr6qlkVUsxConEARJFke7RGQJDfkNMPJGuINujLhHEBodRXh8AjAYYN0gkiQ0MFvsM0CzPK3KywgAaeHKiPEgBZUXvvjt6J7Cx35BFrLqHVnfNNYVroOBM2DKN4UxT4zWL9XbyaYR8kWz4AE38MqPyb9VmkOpOUAxM5reXoQXErQQWwyqGlhcTkDl41lcOyiqndWwGW0IRALEEXgxmAHhImKAHrpVlhEA8Z3bvSfJpmvblOZ8kxsQyg/g1F+gPvv+AgAJrA2cAXOBOSY5Z6B/+9FT0aVIvc+ReZ5fIxGPKpDR9ZqOZ/JitBmoZ0oyS9zy1qSX4Xge1g2iAaFG5QQ0ax8WwtEKDaMZ2P4u8u+XfxT9pOf/nQSiTdek1IpO844Ecmx4Hfne80x0Wc/MJWKmaTAvyZ756P3U0ZER40GKmrwamHgTvCEvhhZk/kuVW8jhzj8XTfB7pyXfgeXSkYDCmi8RXnLVQDgkJVJyYDxIUWwrRrG1GAIESeLOcVKtNTUgpOU558TPmUqzU0BGDDUBWSJlUbx08tfke/tryf2aI5Tby2E32hESQrg0fwmh8XGE5oIABFinHo3OZA8eIWs1bwQuuzvl18zIvC5pIWVGQhg4+3D075aBvwAAuCwuVDoIeSmVE9DuBIt8BrQ2HlTgm0GJgUBPD8Lzcdo3AzIDwkXEwCVxLam9PGNqI9XEwMmTJ3HLLdFuxiaTCffffz/++tc4Lvs6loLngXXiQUpeTkAzxFnsQQ4ANqMN9fnEIyKRasC6lQTvvs5+KVM1fJwwzI5SMm6FYIqBogwqBgBZZwIZMTBxgdRDGa0ZafeRCCaDCQ35DQCIPJUyh5aWFvA2Ii9jNZ59L0gtvDxTUt90Ff4CgKQYyEigSbHjTsJizg0CrzxAfiYIwJH/Iv+mQXQWYTVamacCPdhEgeOA7e8g/z7639LPX/wumR8F9cDWt6l6TbohKzlAGYuKYKwim1hCadlitL6afL/4OBASs5iCIGXPsuiST8FzfEz/DAZKDIyeis42UMKuJnViIMp4MBSSjNI2pRmkVG4hAdrCKOkEQkHvwxxl/CwGCwtCzk4tMuwrbibSyKAn2qyNHrDX35RSQJGxAxRASk3W3UQO03/5pETCnP4tqWmt2KSYVExJhZMAHMdJPgOLywl23Emywr3PSd0JZvqBo2LG7+rUOjXFU8JogpIWomKIhKINTGkcUtq25BDFFG3p3k9JYOSNbL2OkrjzBklxJG9bSAP7wsaU2w1TIjcj85qVE8hKkUaOE0m+tSAtYzktELNMhpYTUANC8W/uGwlAAJ+WUbPmHQkoKKl86IdSTXYoIJlsbnqTtq+nEhzHsXu5c6aTEdfmIiMMnBd4+cfSg1/4D/K94/YlnUHUgCkGCjTwF5CDlRP8VvrZ3JC0luQgKbEYS8oJKDHQ+UQ0wU/jpTT8BeSvo0SRaywshKmalBskJK/rRNJw4JVoVTklCjJoWqqaGCgpiS9fvuqq7GZeVzwWEwNBH/DCt8m/c3BzUdl1ImLAcsWrAF5A2BNCaFDsNUzrb2suUxxwBiNBdljNuGKAHjgGX5EWhW6xjKD2csBkzezrx4DcwZ1uElZ5drPxSoA3kc/2ma+Sn138K2FqyzaqMiySdyTQfJOQw2QFrvoE+fdz/0Y26L4DpGe22SltKFkGnV9nJ+M4nm9+M/msh44SOZx7AjjwTfK76z4DGJV7MoQjYbYhK5Vcs5ozNQeZqm2k1jMwL2Wvn/s3kjHhDFknuygS+gw4S6VAuE8cczgkBfcqFQOCIMQ8QPm7uiD4fOCdTpgbGlRdcwlMNkm9Q2v9IhGZv0Bqvby1wIYi8lkuWa95gzTm5/4fUQ0IgsxfQH0ZQUSIqJ7XqnHzl8l92Pm4NNZjYhmBArUABSUGvBoRA0CCzgQFtZJ6iwb3z/87Icobr0y5BpQpvDJV+kW9Xs6KB6fRM8Bf/5n8O8YhyqeVAkfJ0MR5vYTwkrctpEjTX0AQBPY3zQgxEKvtGC0jqNuTUhtLLRHTdJp6W106CIQCogEhj3DAgGDetpQJGEDaFzRvT73rLkLiz/YDj3+W/KzrCdKmzlmR05INCjkxQEvdKOmCQz8gBP9UDylrBIC9H0rr9TJG5G58A/ne+zwpkREE4P/uJWqjqu2kW1aOsWRe1+0l7b3nhyXvl5BfUpikqRiga1V7sbKyMUqwehd7tclR2grYioCQV1JkR8JSHEINWTOA3K5Kax3N15IgfuICMQ37xd8AnY+RLPbuD2R9OIoMCBv3MgNC7/N/JDXvVIJdq/ww0jvbi0AkAKfJmdSsI21UbCaf88Io8Nv3EHM86i/QlBsyi0r6O6c7mZGjTV4PXdwM3Pp18u9nvkKcdVk3glereq1h9zA8IQ+MvBF1+XVpjz0htt5B+pJ7JoGD3wMOi6aDHbcDFmdmXzsO4h6gKBwlkjT/6M+AZ+8nB+7KrVJNnUL0zffBF/bBZrSxXvPJwAzTTqs4yPAy88nzfwaO/w/w5BfI/2/5KqmrywHiHqAoGsWDdM9zxFjzz/eRzLYlX7X5z6RvEjP+GXDgopyAKcFi3bgRnBaBNyVZjv1CJI9OkIDT7MxpdoQdoGIRXvv/gax5J34F/N+HyJjnBklw1KiezOif74c35IXFYMncGlLcDOwR971HP0VIusFXyPtQkfGjh1f/2bMQAoEkj1aGhPN6113k+/FfAuMXgCOi8uiq1NQCGetIIAf1Geh8ApgfBR56JwlAm68D9nww6qHh+XkEeojjdqYVAwCwoTjOvG4WDQj7DxHS+ejPibILSDnjN+IewXxwHkbOmJluPVQxMHyceO0IglQzXJ+5jJ9SsNZucmKgbjdpDzl+Dviv14EPzMJaTpInPqROCrqDbvTO9gLIgErU7ABeK2baX/4RUXTRbgQdt6VVP64V6Hs+O3lWSgbtexVRWbrHSNnDwe8S1VTzdSkbPALApHcSk75JcOC0Vx0V1osm4wJw+vfED6HzMTJnXv+9nHV+kGMJMWCySibBnY8ThcODt5LSOkdpWp1BPEGP6nlN9yhKuMYExy0tJxg7Q8qpzHlSmVIGoBMDuYTVJclBfnILOayancAd/5vV9nkUlBhIaEBodsBWWwAA8P3q88Av3yJl/FRkz+hrrC9cD57L8DQ024G9YrBz8iHgu7slWW2W/QUoWGZ1+iJrW2LtWLQRbH+HxBo/fA+RjQPqywhElr4hvwEmPg2HdiUwGIFr/5H8+4VvSez3juyXEVAomtfbxHKCY7+QMn83/KvqjM6FKbIRrStcl9SEhoIqRbyJNolYoATRyV+T+QEAe+9Nqy4xXSRUDADSGnH0v4FvbZdKTja8VvVnTdUCNXk1sBlt7Oes9WeHRhsnzTZ1Pg784Grgx6JxbN3unAZBLNBcnFkFiLntG39MDtXHfg78Usy4N11NVBAqIZdKGvkMvucr7yNKmKluacwt16tq2WWqqwPvckEIBuE7H7/9rhrEbVkIAI1XEzLUPwf87DaiFmjYn3IbS7pOldvLte1IIEe5qDoL+4Gf3Ey8HfKqgNt+sOQ+pHJXU1UVjEUauvbHAc26LSEGChtJV4VIEPjP/cDDHwC8U6QsQoWiRA46rxsLGmE2ZKAGvaCezOdIEPi3dcAXK6TYYxlkseWt3VhpaF4F8JafE7L20gvAD6+B1TkDAPDOpu42f37qPAQIKLOXocSm3DhZMZqulsoVH75H8t/pyF03AjnovD4zcVpKBm3dClz+XvKA578ukYpX3JvWa9HSkNq82qhuPZqBqj8P/wT4y6fIv6/9x5Ras2YC8nnNTExpOcHRnwHfv5Koca0u4A3fT6tW//y0OK9tyuc1jfVpiVZc0PPh8/8OfGMz8GOxm1DtrozGHjoxkGvQcgLfLJmk73w4pYyOFqCBZt9cn+RSGwPWLYSd906JJkXb3wn8zX+rqhGmqoSM+wtQ3PA54D1PA223AhBIfaUlP6stIeWggeZ8bycis7PgTCZY18eQ+V//ryQzHPKRjE5+teoxZ6WMQI72NxC22z9HAs/yTSk7RmsBWiIzsDCA+UAcs5eW60hg7J8lQVzzdSnVUrKOBCrk1lQpEuzvR2h6OsmjZWi8krS19M2Q+bzxNjJfcgi5g7s35F36gIZ9pCY75APAkbryt/8WeO23VL8WPaQt6UjAZM8aZTc3vAZ4/X+StcPkIHMayLlkkq6do55RTPtizJuNbwBu/xEhB+bEsi/aDUclMlqHLYclT5rDs6KB5VZ1hz6O49g95UsWeCkEnddj3jHM+he1veV5STVAfSiu+njKr3V6khzENxZnLiMEjpPKCaa6yRx5009idrphRFsW1AIAWTs5cBjzjkUbIXOctCZP95C174bPAe99NmV5e0Z9MwAy5is+TCTBAFn3hDCRty+DWuzmgmbwHI8Z/wzGvePSL9bdAPzdE4Twmu2HrcANAPD1xDDwVYgzk8T3RancOiXc+Hmyj0/3ECVaYWPa9eNaobWwFTzHgxseR3hmBjCZSJnG9neRhOBkJ4nxKjannbCSdyTICDa+HgBHVCX+OaKqW6Q0yiXq8utg5s3whrwYnBf3PmqaOXGetLYs7yBnAkoYpAg6r6nSSQmsGzcCHIfQ0DBCk5PxH0hjDO80MaUPugFwGSe7dGIg12i7lZhb2UuAO/+YkgGXViixlTCX2rgZPwC215Estm+hCMIHXiJBfbu6/vTnprNkPChH1TbChH/gILD7HuD1381Zxq86rxpWgxV1g0TqamlrA2eOkbHgDSS4py2v2m5VzW7STSKjHQnk4Hng2s9I/9/xrpz1agaAAmsBKhwVABKUyfAGmckgB1z/2ZReizm3qyAGDC4XzPXE+FOVz4DJJm1q9VcQGV+Oa1aLrcUotBRCgIDu2Rjt4uxFhKG/8uPAvUeAOx4i7yGFcZ+aJJ+VPNCMBALwXSDB/hIFTqrgDeRw+pafA5/oIeTta/4D2JU7ZQYAOM1O1OURWX9M1QBAZLS3/5CQMbyREDEpIGsdZADi+UH9JqwuYP0tiR8fAymrcOLAYXKwkrco2TXF1reRMg2A1LOm4T2RlQMUEL1nX//ZuCpF3ylCVGTDXwAA7CY7GlwNAGKoBnbcCdiLCanxwZeBK/4eMKSugss4MQCQ8phP9AD/OArcewz4278QMiONcWsFi8HCTKeXqGFK1wN3PwE0XwtbcRAA4D19GkI4vPgyisDmdVEG57XVBbzmG9L/N70xp7GHHHaTHY35jWgeJsoMa2sreLOZmIzL2zhf8fdpjznj8zqvQpLmG61i7JH7cg0KI29kCQNmOl3cQr4AYNPfAHc9llYJAQVdo9QQAwanA+Ym8toJfQYqOghB99ZfkfF+8DDwiV5g2x3pDDkpdGIg1yhpAd53ALjnUFo1RVqBHtQTGhC2toGzWhFxuxHo7VP9GoIgSC3dshFoLkbZBuDmL0l1ljkAz/FoLmhmm0TCoMuSB7zj98CNX0jJ5ZpuyBkzDYuFdTeQuuDKLcDmv8ne68aBknmNXXcRAmbfR4DK1Fz9aSmB2nlt3Uxez3vihLoXvPkrwE1fBt76y5yYaC4Gx3HJfQY2/w2RHaa5KZ+eIAeWjmLp3vGfOwcEgzAUFsJUrb5NXFIYLSRrueNdOW1/RSGvW42LjtuBd/8VeOf/pew9kVGDtsXgeeKv4qoD9n00pXltE+8nX6KgSyUSlhPYCoHd7ydB8vWfTSuwp+v1xpIMKgYAouLa80FyEElgdOZjpTnZi0/iGhBW7wA+3g28+b/TcmynyAoxQGGyAkWNxFsgrzzzr6cQMQ0IKWyFwNt+DfMHfwfOZoPg8SDQHYPwVYCsEV7rbyKJn4L6nHRCSoT24na0UGJAHvNd/j5SN17aBrS/Pu3XybhiACBrh8lOYpCSLKlRVWDJvOY44I5fE4XibT8gJcYagK5RdM1SCqZqS0Ze1+wEWm8mfiUlLVnpVqcTA8sBZW2AozjXowCgzICQM5lgbSeLu++kyoMMiPR1xj8DI2fMbPu8ZY62ojaJPU4WdOWVk+BNpWRyIbCAnlliHJXxQFMOjiNKh/c+S1j8HCOpASFA+o1/4EXg+n9J6TWmfFMY846BA6c60FRkRhMLrhqSkVoGnzFFwpaFGmE+MI/euV4A0fNa8hfIbL/15QKapUg4rwFSk5hizft8YB6DC0SOmZUDFECIuY+cBPZ9OKWn084E/q4uRNxuTYYUs7WbHNf/C/DpobTcohcCC2xeZ/wAxXHATV8kcvw490poagrBoSGA47Tz7FCAuD4DGsIf9rPPOmvzehkiIeEFAAYjuOYrWfecVFQ4nqAHPXMkDsn4vAZI4ufDJ0jXkGWEDcUbpGSQPOYrrAfuPUqywmmqWMORMFP8ZnRet95M1rudf5u510gD9CwTRXgVNRGFokaxgT/sZ15Hauc160ygUbmbltCJAR1RYJnV6cSBJj3IeE+on9SUdGgsaITFoLwV3GpDR2E7moj5dMaCrjOTZyBAQKWjMjOGPysEigwI0wSd16kY/sjb1wjyPrsrEKw9ZDx5uwagB4YqRxWKrBJZlm3Zc66hiPBKEzSwqnBUZM4MT2OYyspgrKgAIhH4zpzR5JpJlTBA2nJaes9UOiqj5nWuQNUC5sZGGJzZ6yoTVzGgIbpmuhARIiiwFKDUVpqx11nuSKgYkIHuUan4dlyYvoCIEEGprRSl9rX7WbcXtEkx3+I9ylkKWPPTfo3++X74w35YDVbUONNX1STEMibflc7rdHBx+iLCQhiFlkKU29WpgOTJoOUW860YYmBqagp33HEH8vPzUVBQgLvuugsLCwsJn+Pz+XDPPfeguLgYTqcTt99+O0ZHR6Mec+nSJbz61a+G3W5HWVkZ7rvvPoRCIfb7p59+GhzHLfkaGRnJyPvMNajc/OL0RYQj8WvJrJtE6XMKmwTd7Kkp3FpFh6cI1iDgMwGmpgy0SoJUh91RsjYOSvFAA82u2S4Ew8GMvEY65THWDRsAoxHhyUmEhoe1HlpWQefa6YnTCdeQdEDn9WIVDA1asyl7ziXkhrHuoDaZ8cWggVVWS5E0gE1jnwF5oJmpeU3LYzJqPKgCXmbkmd39o62YzOvBhcGlZo8aQV5GsBbURfFACa+u2S4EI/H3xnTuJ2qomRW1wDJG86yVxXzzVZkhWeUdZJR2RlqNoPO6f74/oZl6OpAbD6pdQyxtbSTmm5pCaGgoE8NLGSuGGLjjjjtw+vRpPPbYY3jkkUfw7LPP4j3veU/C53zkIx/BH/7wB/z617/GM888g6GhIdx2m9SXPBwO49WvfjUCgQBeeOEF/PSnP8WDDz6Iz3zmM0uudf78eQwPD7OvsjLl7ZNWEurz62E1WOENedE/3x/3cbbNJPD2n1HfKzqn/gLLCGV9JODprgB6Fy5l5DVOTejEAEAycPnmfIQioYTGmukgFeNBCt5qhUXsSpGKCmc5odnVDLvRDk/Ig67Zroy8RqwDVMTthr+L1L9mU/acSxTbilFmK4MAIWH5VzrIWkcCjcFaQqVQ7hYLDfkNcJgc8Ia8GVtDsuYvoBC58BcAgHxzPst2Zko1kFV/gWWMKmcVHCYHQpEQ68ceC1Qx4D93DhGVMV8qzu2rEmeI2qi7Ajg3k5lMNp3XGfUXWAEoshYxJVDc8q80kaq/AADwFgus68naoxV5rRVWBDFw9uxZ/OUvf8GPfvQjXH755di3bx++9a1v4X/+538wFIdpmZ2dxY9//GP8+7//O6699lrs2LEDP/nJT/DCCy/g4MGDAIC//vWvOHPmDH72s59h69atuOWWW/D5z38e3/nOdxBYtPCVlZWhoqKCffE5dv/OFAy8gS0oicoJTLW1MKTYK5rKXrPakWAZInCKbJbdFRxOTmTmMEiJgU0layODGg8cxykzIEwD6Tq305pDrVqs5QoG3sCIqBPj2hzKFoNmoOSEl+/MGSASgbG8HKZVStzGAg22M36AKlpZByhKXqv27YiDqHk9kdl5nVHndoUQBAHeU7lRDACyeZ0hnwGdGCDgOZ4dbBLFIaaaGhgKCiAEg/CfV0dC0rVpOczrXIIqbLsqOUaWaA36N1zzJAykeztTpHkqHQnkSKc8J5NYEafbF198EQUFBdi5U2rld/3114Pnebz00ksxn3P48GEEg0Fcf/317GdtbW2oq6vDiy++yK67adMmlJdLtSE33XQT5ubmcPr06ajrbd26FZWVlbjhhhtw4MABLd/esoMiA0KOk9VFKw+S5gPzGFgYIK+zwqSpWoMGXV2VHDvAa4kJ7wSG3cPgwK15CR+QWZ+BQDiAnhlirpTqvKYHmZWuGAAkIioThNe0b5qZ4ck3ZMq6L6ndXOXIJOElN7Jaaeu1VTRLCw4MIDQ9rck1N5eQErpMEF5zgTlcmifKseWwXoeGhxGenASMRlg2ZP+QkUkDwogQwZkJsVvPGlcuAsDWsq0AgGNjx+I+JjrmU76u+0I+dM8QJddymNe5BCUpOzNEDESECFubtpZu1fz6Kw10b8xEfB2MBBm5mCrhRZWNumIgBYyMjCyR7huNRhQVFcWt9R8ZGYHZbEZBQUHUz8vLy9lzRkZGokgB+nv6OwCorKzEf/7nf+I3v/kNfvOb36C2thZXX301jhw5Ene8fr8fc3NzUV8rCbT2P1mgmUpGRm5kVWAtSG2AqwCRQAD+syTguViVGcUAlVs3uZrgMDk0v/5KQyaN2rpmuhASQsg356PCUZHSNRh7nEav6OWCTaXkvWTiAEWzqg35Dcg3S2ZNlHW3rRF/AYpMzuveuV54Q17YjDbU5dVpfv1MwpCfD3NDAwDAd0qbwIseoI6PH9fkenLQA3C1s3pZ7I00WLWsXwfekn2T4EwaEHbOdGI+OA+b0bbmFQMAsKV0C4Dk8zqV7jnnp88jLIRRbC1GmX3tKLkWIxIIwCcqLboqOZyZ0p4Y6JrpwkJwATajbc2XEgAywmv8mObX7p7pRjASRJ4pDzV5qZk82uQxXySi5fDSQk6JgU9+8pMxjf3kX+fOZc5tWQlaW1vx3ve+Fzt27MDevXvxwAMPYO/evfj6178e9zlf/vKX4XK52Fdt7fJqmZIMShQDAFJSDLAygjVuPOg/cwZCMAiuwIWxAuDC1AX4Qj5NX4OSDculXjXXoOzx+enziAjaLsJ0XrcWtaZsZGVpbgZnsyHidiPQ06Pl8LIOmlntmunS3BSPEl6Ls0/e42QdooTlWgE1auuc7kQgrK72NxmOjBECfFPJphVpZGVlKhxtCCqqhOmZ7dHcFG+5GbTlmmij63XvXC8WAomNptWCZsY3l2yGkU+vPdxqACUGume7E85rawrlbjQz3l7cvqZNHv3nzwPBIHgx5htxj2DKN6Xpa1BiZ1PJJn1eQ1JN9Mz2YMY3o+m16bxuK25LPeZraQFntSKysIBAb6+Go0sPOSUG/uEf/gFnz55N+NXU1ISKigqMjY1FPTcUCmFqagoVFbGzcxUVFQgEApiZmYn6+ejoKHtORUXFki4F9P/xrgsAl112GTo745sPfepTn8Ls7Cz76u+Pb+K3HLG+cD04cBj3jmPcMx73cZTtCnR1I5ykQwSFbjxIQANV+5atKLIVIySENM/4Uef2te4vQNHgaoCZN8MddGNgfkDTax8dOwogvc+aMxph3UgOBctNWqYWpfZSVDoqIUDQXMYXq9NGaGICwcFB0m9909qa71WOKmKsKWhvrHl0lMzrbWXbNL1utsB8OzS6nwqthUw5obXKixkPLpeOBGJJU65Kc4ptxawFGPVv0QqUGKAZxbWOQmsh6vPrASRWeVHFgL+rGxG3MsI33Trs1QJafmHbtBkNLtKFSutyAjqvKdGz1lFgLUCj+FlrrRpIx3iQgjMaSUcqaEdea4GcEgOlpaVoa2tL+GU2m7Fnzx7MzMzg8OHD7LlPPvkkIpEILr/88pjX3rFjB0wmE5544gn2s/Pnz+PSpUvYs2cPAGDPnj04efJkFOnw2GOPIT8/H+3t8Vn7Y8eOobKyMu7vLRYL8vPzo75WEuwmO5PXHR47HPdxxpISGKsqAUFg/cOTgR6glkvwkyuw7OaWzSy7quUBShAEvSPBIph4E5PXaS3jOzxK7pMd5TvSuo50kFk+m0SqyJTPAFUMyOc13VTNzU0w5OVp+nrLHRzHZaycgCoGtpdt1/S62QI91HpPadcrmgbdWpfJxFPC5AJCOMw6Eti25O6QkSkDQhqHrFTCKxOg8zrRAcpYWgpjRQUQiRCzVwWQKwbWMnwnKDHQkbF5TRUDOuElgaoG6D2vFbQivGybSfzvW0beUivCY2DDhg24+eabcffdd+PQoUM4cOAAPvjBD+Itb3kLqqqqAACDg4Noa2vDoUOHAAAulwt33XUXPvrRj+Kpp57C4cOH8bd/+7fYs2cPdu/eDQC48cYb0d7ejne84x04fvw4Hn30UfzTP/0T7rnnHljEmrpvfOMbePjhh9HZ2YlTp07hwx/+MJ588kncc889ufkwsoSdFcTo8fBIfGIAIOwnoExaNuGdQO9cLzhw2F6+MgNNrUAPMrbNW9gBR8sD1MDCAGb9szDxJr2GUobNpWS+HhmN7xGiFuOecVyavwQOXNobMjMgXOGKAUD6rLU8QI15xjDuHQfP8VFmeFIZwdrMlFDZtZYZqFH3KAYXBsFzPPtbrjRYN2wgvaInJhAaHtbkmpmY17P+WWbKuxwOUP7OLkQ8HvAOByzNzTkbBzX10tJnYMI7gYGFAXDgVuy8zgSU+wwoL8/xh/3omiEta/VkEPlcrZs3s89Cy/V6xjeD3rleAFIpnw6J/EtkrKkW4UiYqZjS7bRh20L+VnR+LAesCGIAAH7+85+jra0N1113HV71qldh3759+MEPfsB+HwwGcf78eXg8Hvazr3/967j11ltx++2348orr0RFRQV++9vfst8bDAY88sgjMBgM2LNnD97+9rfjne98Jz73uc+xxwQCAfzDP/wDNm3ahKuuugrHjx/H448/juuuuy47bzxHoJnPV0ZfSfg4Ki1T4qROr7W+cD1cFleaI1y5CE1NISiWl9g2b8pIZpWqBVoLW2E2mDW77krHropdAICXR17W7JpUVbO+cH2UGV4qYAaEKfSKXm6QH6C0ytbSed1c0Ay7yc5+7j1BNtVcZjdzCWr2SDP8WuDoOMmwtBa2wml2anbdbIK3WmFZT1RCWnX7kM9rrbxK6AGhNq92WeyN3uPHAJD1iDPkzluCZuO0PEDRA0JLYQvyzGtLXZQIlNQ+OX4S4Uh881vbVrLGUjI2ES5MXUBICKHIWsTKQtYiwrOzzDfItmULI/+0nNe0hWpDfsOyMC9dLqDz+tTEKQTDQU2u2TfXx0x5aQlOqqAxi+/8eUR82vqMpYoV405RVFSEX/ziF3F/39DQsCT4tFqt+M53voPvfOc7cZ9XX1+PP/3pT3F///GPfxwf//jH1Q94hYMSA50znZjxzcRdaKyiYkBJ+5pXRggxQNUIaxVM9tzUBEN+PjZaCHvcP9+f8LNWA72MIDbk83rKN4Uia1Ha16Tqg3TLCACpV3R4Zgb+c+eYzGwlYkPRBhg5IyZ9kxh2D6PKWZX2NalBmzz7JITDkkxzy8r9vNIBJbwuTl/UbF7TA9RKl1vbNm+G/8xZeE+cQP7NN6V9vfWF62E1WDEfnEfvbC+aCprSvuZyMx6k2atcE210/+qa6cKsf1YT0oSVEZSu7HmtNZpdzXCanFgILqBzpjOuDxSdE0oynKwOu3jDmjYepKSkqb4OxsJCtAWIwmvIPaRZzKf7ZsRGQ34DCiwFmPHP4MzUGU38F+ga0lbUlrYpr7GqCobSEoTHJ+A7cwb27blXU68YxYCO7KLIWoQmFwl4EvkMWDduBDgOoeFhhMbjGxUC2tVhr3T4WBkBOcS4LC405DcAkIzV0oVODMRGkbUILQUtAKT5mC7odbQoj+E4TnJSV5CRWc6wGq1YX0TKWGg2I10wf4FiaV4HuokRFme3w9LSosnrrDQUWYuYf4ZWahhKeG0rX9kHKNvWrQC0k2oaeSPr9KJV28LlZjzI9qgcEwMlthI0uZogQMChkUOaXFM/QMWGgTcw9WIi2bV140bAYEBodBTBOO3CKXRPKYLFRFueOY/FfFrVvtO1SDcejAbHccxnQKtygoPDBwEAl1fG9rhTA47jWAmk99jyKCfQiQEdcbGzXPQZSHCAMjgdsLSQGsRENWfTvmnmmL3WiQF688uzm1r6DIQiIcbU6x0JlkLLcoK5wBwuTl8EoN28VpORWe6g80+LemxBECTFgKwFJ/Pr2LgRnHHFiOA0x2UVlwEADg2nf4ByB92shnKlZ1aZVPPUKQhBbaSktJxAC2JAEAQcHyPXWQ4HqPDCAvydpC58OShwdlcST6iXhl9K+1q+kI8Zz+rEwFIo6fvO22ywthI1QaKDjCAI0gGqIv0D1EpGLAUOPVS+OPxi2tcPRUIsdqSHYB0S6LzWgoSJCBFGUmo1r1nMt0w6E+jEgI64YD4DI4l9BqxbkrNdlFxodjVrInNdqRAiEVZ2Yd0cgxgYT58Y6JrpgjfkhcPkQIOrIe3rrTZoSQwcGzsGAQLq8+tRYitJ+3qALMN57Jgm18sl6AFKi3ndN9eHGf8MjLwxylAzFtG2FsGIAQ0yq8fHjyMiRFDtrEa5Y2XXBpsbGsC7XBD8fvjOadP2jnUm0EAJ0znTiTHvGKwGK7aU5T7b5zt5EhAEmGpqYCwuzvVw2AGKHjLTwenJ0whFQiixlaDGWZP29VYbFBsQbk1OXl+cuYgJ7wRsRtuaJmGESEQir7dsZT/fU0m6o704lD4xcHH6IrwhL/JMeZqUNq02yA0I0/U7ouV6NqNNM3UGVQ8vl2SQTgzoiAtKDJyfPo/5wHzcxzG2K8FBhhIDa91fINDbi8j8PDiLBdb10uFG3rIw3YWLburtxe3gOf0WX4zFPgPpgBpqaqmCsW3eDHAcggMDCE1MaHbdXIAqBs5OnU3b+OfA0AEAwI6yHVGGmjTosq5R40GKnRU7wXM8eud6MeoeTetaNLOyUtsUysFxnObOz3S97pzuhDuorJ97PLww9AIAYEfFDlgMlrTHli6Wi78ABZ3XfXN9GHEnlq4ng7xN4VqueY+HTaWbwIFD/3w/Jr2TcR9nVXCQoQfeHeU71rQBcqC3D5HZWRLztUox367KXTBwBvTO9aY9r6nCY3PpZj3mi4GNJRth5Inf0cD8QFrXogTl9vLtMBlMWgwP1o4OgOcRGh5GcHRMk2umA30G6YiLckc5avNqEREiCSU4dprhPHUKQigU8zH0AEXLE9YqaN24deNGcCZpUWktaoWZN2PaP43u2e60XuO5wecA6PK9eNDSZ4DWYWt5gDLk5UnlOcuEQU4V9fn1yDfnwx/248L0hbSuRef1vup97GcRtxv+i6SUY622KqTIN+eztoXpqgaOjooHqBXuL0ChdXlOqb0UVY4qCBDSLv96fvB5AMAVVVdoMbS0sdwUOPnmfOYpkq5qgNYY63XYsZFvzkdzAdl7EqkGWHnO6dMQ4nTPoRJ5mhlfq6AdcxbHfPnmfKYUTVc1oPsLJIbFYGHGrrTbTqqgJU27K3anPS4Kg9MByzraPSf3MZ9ODOhICCU+A+bmZvBOJwSvF/4LS4P/Wf8szk8RCedaVwywtmqL3ObNBjN2VRKJ+9P9T6d8fX/YzxauK2uuTPk6qx1alBN4Q15mhqeF8aAcSspzVgJ4jmflBOkcVr0hLytpkhMD3lOngUgExooKmMrL0hvsKgAlA9OZ18FIkEnkV4NiAJAkvFoSbaycIA3/DG/Iy8jF5UAMCIIgkz0vn0MGLSdIx2dAEASWWV3pnTYyCTqvE/kMRJXnnF8a8wXCARweITHjnqo1TgwkUODQz4aqhlIFI7yWQSnScgX1yknHZyAYCbKz0O4q7YgBQDoT+JZBMkgnBnQkBJVIJyIGOJ5nk9oTo5zg6NhRCBDQkN+gWR32SoXvOA26lmZjrq65GgDwzMAzKV//5ZGX4Q15UWYrY9lDHUuhBTFwcvwkQkIIZfYyzetVV5MB4f7q/QCAp/qfSvkaL4+8DH/Yj0pHJctoATKibRkdYnIJOq/TIWHOT52HN+RFvjkfja5GrYaWU9jETh/BS5cQmkqvfIiCBuHpZLFfGXkFgUgAlY7KZfFZBwcGEJ6aAmcywbJhQ66HwyD3GUi11K5nrgez/llYDBZsKFo+7225gfkMjMXfe5KV5xwdOwpf2IdSWylT561VJCQGRDXFS8MvISJEUrr+hHcCgwuD4MCxEicdSyH3GUgVpyZOwRPyoNBSGOVzpAWYb8cySAbpxICOhKDEwOmJ0/AEPXEfRw3TYrFdNNO31rsRRLxe+ERFRaxN4uraqwGQhSvV2vdnB54FAFxZe6VeQ5kAWvgMsPabZTs0/6xZec7Jk3HLc1YKrq27FgCZ14nqVhOByq33Ve+L+qxZ0LVZD4gAolwxckYMLgymXEvJ2hSWbVs19aqG/HyYNS7PuarmKgBkHUh1DaGZwr1Ve5fFek2DUkv7BvDm5VMXvrVsKywGCya8EymX2tEDwcbijZrVBq9G0APUyYmTyrylYtxPVBq/u3L3spjXuULE44FfVFTQg58cm0o3wWFyYNo/jXNT51J6DUpMritcB6fZmfpgVzkokds104W5wFxK1zg4RD7rXRW7NN8b2f10+nTOY77VsevryBiqndWocFQgJIQSOjDbtm0FEFsxwPwF1ngZge/MGSAUgqG0BMbKyiW/r3BUoK2oDQIEPDfwnOrrC4IgEQPVehlBImjhM3B4TCQGMkB4RZXniDX0KxUVjgq0F7dDgJCSGkYQpPtBXkYgCIJEDMQIutYiHCYHa+WYqhpGbtC2mmDTuDynJq8GG4o2ICJEUi7/ooaaV1TnvowAwLIsIwBIjTCdj6kqNA4MiualazxBkQz1+fVocjUhGAkmnNeJynOYv8AaLyPwnT4NhMMwlpfDVFGx5Pcm3sRUXqn6DPy1968ApMSSjtgosZWgIb8BAgS8MJha6QZde7QuIwAAc1PTson5dGJAR0JwHKeobSHN2AX7oqWaC4EFnJ06C0A3HqTGg7bNW+Ky6DQLlcoBqmumC4MLgzDzZia91BEf6ZQTBCNBVlustb8AEF2esxraFl5bS1QDT156UvVz++b6MLAwACNvjJrXoeFhhMcnAIMB1vZ2zca60pFO20JfyMeCn9V2gMpEec719dcDAB7re0z1c4cWhtAz2wMDZ1g267WkwFlexACQXttCd9DN9lT6N9MRGxzH4caGGwFIh85YiCrPmZ5mP5/2TePsJIn51joxwIi2BIo21rZwWD0xsBBYYITXTQ03pTDCtQV67/+p50+qn+sJelhyVEvjQQoS85F7KtclpDoxoCMp6IE+kfGPweWCuYn0T5VP6qNjR1k/7ArHUsZ0LcF7lEh0E2U3Ket7YPAAAuHYbr/x8OwgUQtcVnkZ7CZ7aoNcQ0iHGHhx6EV4Q14UWYuiat61xHKqOUsXtJzgxaEXE5YkxQItI9hRvgMOk4P9nAZdltb14G02jUa68kEPUIeGD6mux3564GksBBdQ5ahippGrBTTD6TtxAkI4rMk1aaB5cPhgQtl1LFC1wKaSTcg352synnQQCQTgP0sOdMtRgUMPUK+MvIJQRJ3U9slLT8If9qM+v173F1CAm+rJIfPA0IG489qQnw9z89LynJeGX4IAAesK1615TynW4SPB/UTJkyOjR+ANeVVd/+mBpxGIBNDoasS6gnWpD3SN4JbGWwCQmEJtOcHh0cMIRUKoclShJk9bTykKZjp9PHVDWy2gEwM6kmJf9T5w4HBs/BguzV2K+zjqMyA/yPy5588AdOZYEAR4jh4DANi3x88wtxe3o9RWCk/Io/rA+kw/yYjo3QiUQe4zoLaP8O87fw8AeFXjqzJWh83up1VgQNhS0IIaZw0CkQA7ECkFJQaoiSGF9yiRvFM/Bh0EW0q3wMSbMOYdQ99cn6rnPtL1CADg1U2vXjX+AhSWlmbwdjup++3s0uSaTa4mNLmaEIqEVKu8qJx1b/VeTcaSLvxnzkAIBmEoKoKpujrXw1mCtqI25JnzsBBcwJnJM6qeS+OQWxpvWdM170rRUtiirJxg81IDQr1NIYEgCEztl6g0pyG/ARWOCgQjQebvohSP9j4KALix/kZ9XivA+sL1aCloQTASxBN9T6h6LmtTWJU534xY91MusLp2fh0ZQYWjgtVA/q7zd3EfJ9VwHgMAzAXm8Nc+IkV7Q8sbMjvIZY5gfz/CExOAyQRrR0fcx/Eczw72aupWZ/2zrJetTgwoQ5G1iKlhfnvxt4qfN+ObYX+b17e8XvuBibBuIrKyQG9vlFRzJYLjOKYaeOqS8u4E3pCXEWRyfwEA8BwhxIBt2+poqacVrEYrq8d+/NLjip835ZtistRbm27NyNhyCc5ggJUFXsc0uy5VDTzep/yzDkVCLNDcV7UvyaOzA0pc27bEL3XLJQy8gZXJqCknmPHNsPptmjHUkRxUmk4Pn7FAYz5qOi0IAvus13oyKDQygtD4OCl127gx7uM4jpPKCVT4DMwH5vUyghRA1wBKFirFSyNkvaYtgTMBej8FursRnp3N2Oskg04M6FCE29bdBgB4uPPhuDI+m9xJPRzGH7v/CH/Yj3WF67CpZFO2hrosQbObtvZ28BZLwsfScoJnBp5RLAU+MHgAYSGMloIWVDuXX7ZnueJvWv8GAPCbC79RLE/9U8+fEIwEsaFoA1qLWjM2NmNhIcwNDQCI/HmlgxIDzww8g2AkqOg5L4+8zNq5Nbma2M8jXi98ouzZvn11meRpgdc0vwYA8ND5hxTP60d7H0VICKG9uB1NBU3Jn7ACkRGfgTpCDBwYPKC4TObkxEnMB+fhsrjQXrw8/DG8R8RSt2V8P+2tIuqKR7ofUdze7bFLjyEkhNBW1Ba1huhIjBvric/AC0MvxJVds3K346Q8p2euB8PuYZh406rzKFELmiBTUupG5/WBoQOKY76n+59GMBJEk6tpzbeEVIObG24GQA76E94JRc+5OH0R56bOged4XFZ5WcbGZiwqgqm+DkBuVQM6MaBDEa6uuRpF1iKMe8eZtHcxLC3N4B0OCB4PfBcu4DcXfgMAuH3d7csyA5FNsOxmgjICissrL4fFYMGwexgXpi8ouj6VsepqAXW4ru46FFmLMOYdUywFfrjrYQDA61pel8mhAVhd5QRbS7ei0FKIucCcYskk7Uawv3p/dJvCEyeBUAjG8nIYq6oyMt6VjFsab0GBpQDD7mFWYpQMtIzgNU2vyeTQcopM+Ha0FbWh2lkNX9inuEyGmnDuqdwDA2/QbCypgpS6iaU5CvaoXOFVja+C0+REz2xP3DhkMeRlBDqUo6WwBc2u5oTlBJaWFlKe43bD39mJX537FQASw9iMa9v3hcZ8dgWKtj1Ve2Dmzeic6WRdvJKBGkPe2KCXEahBXX4dOoo7EBEiCc015fivM/8FgMSLmfbNoPPFc1hdWYmW0IkBHYpgMphYwBhPdk2kmkQZ0H3gzzg/fR5m3rwqZalqwRQDYlvHRLAZbdhdSVxPlZQThCIhFpDSrgY6lMFsMLMD/q8v/Drp4y9MX8CZyTMw8ka8qvFVmR6e7CBzLOOvlWkYeANTwyjpTuAJelgp0uIyAmbkuX2bHhTFgMVgwe3rbgcA/OLcL5I+vm+uDycmTsDAGXBz482ZHl7OwKSaXV2aSTU5jmOqASXlBDO+GTx0/iEAy+ewSkvduCSlbrmG0+xk85oG64kw6h5l3ZRoplCHclCJerwDFGc0sj1q4qXnWWz4ro3vys4AlzG8h0k7Y/uO5MSAy+LCG9aRctsfn/xx0sfPB+ZZzEeNInUoB113/9L7l6SPnfBO4I/dfwQAvLP9nRkdFyAptqiCKxfQiQEdikHLCZ4deDauBIdmOPteJO2brq+/Hi6LKyvjW64Iz82xvqRKszH0APVI9yNJZde/vfhbzPpnUWQtWnVO4tnAm9a9CQAxA+uf70/42Ic7iVrg6pqrUWgtzPjYJMWAdk7qucQ1tdcAAJ7qfyqpFPjnZ3+OKd8Uapw1MfwFyKapJBuzVvHm1jeD53gcGjmEi9OJ+yI/0k3UAnuq9qxqJ3FjURErz9GSbKM+A88OPJu0m8x/nfkveEIetBW1sfsh16D3k7WjI2mpW65xx4Y7YOAMeGn4JZybOpfwsY/2PgoBAraWbkWVU1cWqQVtW3hg6ED8cgJxDb7wzMPwhX3oKO7IaB32SkB4wQ3fOTI3lahEAeDOjXfCwBlwYOgAa/cYD7SMoNnVjJZCvYxALW5quAkcOBwdO4rhheGEj/3luV8iGAliS+kWbC3bmvGx2XeQEhzvyZMQAuo6k2kFnRjQoRhNBU3YUroFYSHMDkiLQR3CrWdJ94I3rn9jtoa3bOE9fhwQBJjq6mAsURZ039hwIwosBeid62XyvFiYD8zjO8e+AwB4z+b3wMgbNRnzWkJtfi32Vu2FAIGVv8RCMBJkB6hslBEAgGXdOvAOB5FqXkx8uFsJ2FO1Bw6TA8Pu4YSGj7P+Wfzk1E8AAB/c9kGYDCb2OyESkdpALWPZc65R6azEtbXE1+F/zv1P3McJgsDKCNaCusu2Q3up5ubSzSizlWEhuIDH+h6L+7gZ3wx+fvbnAID3bXnfslG7eA8vf38BikpnJat//+8z/53wsXoZQXpoLmhGS0ELQpFQXPUizYibTpFOH3+36e+WzbzOFXwnjgORCExVVTBVKGvTXZNXwxQaPz6VWDXAuhGIxI0OdSh3lDMPjD/3xjch9Ia8TN2VDbUAAJgbG2FwuSD4fMxHKdvQiQEdqkBVA7/v/H1MkxQq1aycimADV81c39cyWFs1BWUEFPnmfNy7/V4AwHeOfSeuQuOHJ3+IKd8UGvIbmJGeDvX4m/Xks/td5+8QDMdWaBwYPIAp3xSKrEWsS0emwRkMTDXgEaWJKxlWoxUf2PIBAMC/v/LvGPeMx3zcj0/9GPPBeawvXL8kqPd3diIyNwfOZoO1dX3Gx7yS8bYNbwMA/KH7D3EzfsfHj2NgYQB2o50ZRK5m2LeTgNBzRLv7ied43Lae7I1fe/lrmPROxnycXC1ASZvlAI9YmrOc/QXkeEf7OwAQI9gxz1jMx5yfOo9Tk6fAc7x+gEoD9LP7wYkfwB10L/m9dfMWCDyHktkItqIG19QtDxVMLsE8pXaoM2B8d8e7AQCP9T0Wt9XskdEjzF+DEmQ61IPGFQ93PhxX5fWHrj9gxj+Damc1rqu7Livj4ngetm2EoKXzKNvQiQEdqnBzw82wG+3onetlbcTk4F0ujFVYAQBvDWxd88wxkHpbtdtabkN7cTsWggv45pFvLvn9wPwAfnbmZwCAj+38GEy8acljdCjDlbVXosxWhinfFJ7oX9rfNhQJ4WdnyWf9mqbXZPWzphlO7yogBgAiBd5YvBHzwXl85dBXlvx+1D2KX5wldfF/v/3vwXPR25SXtlXbvBmcSZ/zibCzfCdaClrgDXnx+4u/X/J7d9CNrx76KgAih18LhmE0w+k7cRIRDaWad2+6G+sK12HKN4V/ffFflxDnM74Z5vewnNQC4ZkZBDpJtpcGpMsdm0o3YXvZdoQioZhqmBnfDD7y9EcAkLKv1Vwek2m8re1tqHBUoG+uL+a8DtmM6C8nBpp3hvcsWa/XIrwi6ai2Y05rUSuurLkSESHCFHNyTPmmcN+z9yEshHFr0616GUEauKnhJuSZ89A9240vHPzCknkdESJMkfT2DW/Pqkksi/ly5DOg38E6VMFusjOm7WPPfAwnx0+y34UiIXzxpS/iWKUfALBteHnXKmYDQigEr9hqTm3QZeAN+PTlnwZAFBonxqNb1n398NcRjASxu3K33o0gTZh4E8v4/ceR/0DXTBf7XTASxMef/TheGn4JRs7IHpct2HcQ1Y3nlcOKWxktZxh4Az6797MwcAb8te+vSySq3z/xffjDfmwr24b91fuXPH8ltFVbLuA4jqkGfnHuF1H1lIFwAB9+6sM4NXkKBZYCvHfze3M1zKzCVF8PQ3ExhEAAvlOnNbuu2WDGl/d9GUbeiKf6n8L/df1f1O//68x/wR10o7WwdXmpBUSvBXNjI4xFRbkdjAq8cyOR9v7q/K+wEFhgPw9GgvjYMx9D/3w/qp3V+Ozez+ZohKsDLosL9195PwycAX/u+TN+czG63O7hzodxqpr432wYyMUIlxeEUEhW6qa+ZeNdHXcBAP6v6/+i1DARIYJPP/dpjHnG0JDfgH/e/c/aDHiNgs5rnuPxu87fLTHpfar/KfTO9SLPlMeMIbMFqtzyHDmSk5hPJwZ0qMa92+9Fe3E7pv3TuOuvd+HZgWexEFjAB5/4IH51/lc4X0OmlXAiN/Uxywm+8+cheDzgnU5Y1qlnd7eUbsFrm18LAPjSS1/CtG8aI+4RPHnpSfy176/gOR4f2/mxZZN9Wsl4c+ubUeGoQP98P976x7fiT91/QiAcwEef/ige63sMJt6Er1/z9az3wrZt3gSYTAiNjSE4OJjV184U2oraWGD/hYNfwKx/Ft0z3fhj9x+Z98CHt3845rxeCW3VlhNe3fhqFFmLMLgwiDf83xvw0PmHEIqE8I/P/yMODh+EzWjDd6/7Lury63I91KyA4zg2d7walhMAJON3z9Z7AABfOfQVDC0M4eL0RTx46kEWeL5/y/uX1Xq9kvwF5Li65mrU5tViLjCH1/z+NfjVuV8hGAnia4e+hpdGXoLdaMd/XPsfWTGJXe3YWrYVf7/97wGQeX1+6jyGFobwraPfwjePfBPnash89q2C7jnpwnf+PCIeD/i8vJRivu3l27G9bDuCkSDe9/j78LuLv4M35MUDpx7AgaEDsBqs+H9X/z/YTfYMjH5t4YrqK/DRHR8FANz/8v14cehFjHvG8cWDX8THnvkYAOCNrW+Ew+TI6risHR3gTCaEJycRvHQpq68NAJywGlJQyxxzc3NwuVyYnZ1Ffn5+roejCTxBDz76zEdxYPAADJwBFY4KDC4Mwma04Wut96H87Z8BDAa0HnoJvCO7N9VywtTPfo7RL3wBjn37UPejH6Z0jQnvBG793a0x6/tuX3e7nhHREFO+KaYOAIC6vDpcmr8Ei8GCb1zzjSXu+NlC75vfAu/x46j66lfgel12jA8zDW/Ii9sevg0DC0vTTPur9+O71393yc9DExO4uG8/wHFYf+glGPLysjHUFY+e2R585sBncGz8GACgwlGBEfcIjLwR37nuO9hbtTe3A8wyJh98EGNf+Sqc11yD2u8tnWfpIBQJ4c6/3Inj48dh4k1RXWU6ijvw81f/fFnJrXvf/nZ4XzmMyi9+AQW3357r4ajC0bGj+NRzn8LgAiFMS2wlmPBOgAOHb1zzjTXhmZEtRIQIPvjEB/Hc4HPIM+dhIbAAAeT4sI2vx6e+2AXwPFmXnc4cjzZ3mPqv/8bol74Ex5X7UfeDH6R0jaNjR/Gev74HvrAPAJBnzoM76EZEiOBzez+nKoMdiUQQyJG7/UqAIAj4xpFv4KlLT8FusiMUCTHPga1lW3HfrvuQZ85+nDH4Dx+D78wZlH70o8i/4XpFzzGbzeD52HuLmnOobmGuIyXYTXZ869pv4V9f+Fc83PUwBhcGUWorxbeu+xY2Fm/ExarvITQ0DO/x43DsXVtBpxxayJ5LbCX42M6P4XMvfg4CBJh5M6xGK2rzavGhbR/Saqg6ABRZi/D967+P7xz7Dn548oe4NH8JVoMV37ruW9hduTtn47Lt2AHv8ePwHD6yaogBm9GGf9n7L3jfY+9DWAjDZrShydWEtqI2fHDbB2M+h7ZVs6xbp5MCKtDoasSDNz+I/zn/P/jmkW9ixD0CDhy+vP/La44UAGQtoY4cgRCJgIsTTKUCI2/EF/d9EW/6w5vgDXlhMViwq2IX9lXvw2uaX7OsSAEhEIDv5CkA6j1wlgO2lW3DH17/B/z6wq/x/RPfZya9H9r2IZ0U0Bg8x7N5PeoZBQBcXnk53rT+Tbi29lr0/fRVCA4MwHvsOJz7smPOuxyhhZHntrJtePSNj+L3nb/HQ+cfYsTXa5peg9e3vF7xdQKBAHp6ehCJJG4NvNbxusLXYZ9tHyMEzAYz8sx5sBgsmBicwARim39nEuF3vB0Rtxtjdjsme3oUPYfneTQ2NsJsNqf12joxoCNlmHgTPn/F59FS0IJTk6fwsZ0fQ4WDtGax79iJuaE/wPPK4TVNDHiOaSN7fuP6N+K1za8Fz/F6S8IMw8AbcO/2e7G1bCt+c+E3uLPjTmwry63M1r5zB6YeeGBVdCaQY3flbvzxtj/CwBlQbi9PKrH2UiPPFSZ7Xg4w8AbcseEOXFVzFX586se4vPJy3Nxwc66HlRNY29rA2WwIz84i0N0NS4u2Jl71+fX4n1v/B2OeMWwt3Qqr0arp9bWC78wZCH4/DIWFMDc25Ho4KcFkMOFtG96G17e8Hr++8Gtw4FjXAh3aotBaiB/d+CM83f80rqm7BvX59ex39h3bMTswAO+RI2uWGBAEQVaak17MV2Qtwrs73o07N96JA4MH0DPbgze1vklxGZIgCBgeHobBYEBtbW3cTLIOgrpIHWZ8M7AZbbCb7Dkv9wovLCA4NATObIaloSHp4yORCIaGhjA8PIy6urq0xq+fMHSkBY7jcGfHnUt+bt+xA3N/+MOqO8ioQXBkBKGhYcBggG3TprSvZzakxwLqUIcra65cNqaO1Lgy0NWF0PQ0jIWrp2622lmt+LErra3ackRNXg3+Zc+/5HoYOQVnMsG2ZQs8Bw/Cc/iI5sQAADS5mrLuR6IWrGPO9u05D4TThd1kx7s2vivXw1j1aHA14E7XnUt+btu2HbMP/x9Tda1FBAeHEBobA4xGTWI+gCg19tfsx/6apUa8iRAKheDxeFBVVQW7XfcjUAKnffmUwAhGI3wjI0AoBIvRCM6Y/LheWlqKoaEhhEIhmNLo2KRTSDoyAtoSynv8OIQ1Wt/keZm0c7S2ta1pnwUd6cNYWAhzSzMAwHs0N71tc42IzwffGWJomm42RoeOTBkQriR4UmyrpkPHYkTFfMFgkkevTtC1xLqxHbwtt61fw2HSKSJdWbmO3IAzGsGZSWe3iMej6Dn0b03/9qlCJwZ0ZATm5mYYXC4IPh98Z9dmdwLPIUIM2C+7LMcj0bEaYBdbH3leWZsHGe/xE0AwCGNZGUzVylUGOnTEAu0V7Tm8NjOcgiBIpTkr0F9Ax/KCubkZvMsFweuF79z5XA8nJ6BqCXsKbQozhZWuBFrL4B1E6aGUGNDqb60TAzoyAo7nYduxtg8ynkOHAAD2XbtyPBIdqwEsI7NGy3PY/XTZZXqwoyNt2LZsBXgewYEBBEdHcz2crCPQ04vw1BQ4sxnWjo25Ho6OFQ6O52HfuhXA2lXhrNTWnzqWJ3i7OmJAs9fN6qvpWFOgzs9r0WcgODaGQF8fwHGw71w+7LGOlQvbjp0AAO/p04h4vTkeTfYhEQM60aYjfRicDljb2gCsTbKN3k+2bdvA63JjHRqAJYPWoAonPDMDf2cnAN0DR4c2YMSA1wshi50ldGJAR8ZAD8Tew4ezOqmXA6i/gGVDGwxJeobq0KEEpuoqGMvLgVAI3hMncz2crCLi98N7/DgAwKGX5ujQCGv5IKMTbTq0BlW1eV55BYIg5Hg02YXnlVcAQYC5uRnG4uJcD2dF484778TrX//6XA8j5+DMZnBGEyAIWVUN6MSAjozBumEDOKuVtITq6sr1cLIK6i/g0MsIdGgEjuNk/dfXVobTe4yYmBpLS2Gqr0/+BB06FEB+kFlLEAQBbpEY0Ik2HVrBumkTifmmphAQs+drBe6XxPvpcv1+0qENOI4D7yTG5RG3O2uvqxMDOjIGzmyGbcsWAGuvnIAqBnTjQR1aghmmvby2DjLy+0n3F9ChFew7SXmO//x5hKanczya7CHQ04PwxAQ4iwVWcY/WoSNd8GYz63BBD8prBZ6XXgKgx3xaw+/3495770VZWRmsViv27duHl8V4YC2AlRPoxICO1QL7GjQgDE1MINDdTfwFduj+Ajq0A83ueY4cWVNtQOXGgzp0aAVjSQks61oASCqvtQDdX0BHpmC/7HIA0kF5LSA0PQ3/hQsAlu8eJQgCPIFQTr7SKSv5+Mc/jt/85jf46U9/iiNHjqClpQU33XQTpqamNPx0li9oq/Ns+gwYs/IqOtYs7JftAr5LNglBENZEto/5C6xfD0NBQW4Ho2NVwdzSAkNxMcKTk/CeOMEynqsZEb8f3mPHAOgdPnRoD/tll8N/sROelw4i/6Ybcz2crED3F9CRKdhFKb3n0CEIkQg4fvXnHympaFm3DsaiohyPJja8wTDaP/NoTl77zOdugt2s/rjpdrvxve99Dw8++CBuueUWAMAPf/hDPPbYY/jxj3+M++67T+uhLjtwZjM4kwlCMIiIxwOD05nx11z9d6yOnMK2bRs4sxmh8XEEenpyPZysQC8j0JEpcBzHahjdB9dGRsZ7nPgLGEpLYG5syPVwdKwy2HeTDOdakT4TfwHRA0ffo3RoDFtHBzi7HeHZWZZFX+3Qywgyg66uLgSDQVxxxRXsZyaTCZdddhnOnj2bw5FlDxzHSaqBLJUT6IoBHRkFb7HAtn07PAcPwv3ii7A0NeV6SBkHIwZ2rf5sro7sw375bsz96c/wHDwIfPCeXA8n45CMPHV/AR3aw7FrF8BxCHR1ITQ+DmNpaa6HlFEEurslf4HNm3M9HB2rDJzJBPuOHXA/9xw8hw6xlqCrGe5DIjGwjI0HbSYDznzuppy9to7UwTscCM/MZI0Y0BUDOjIOh5iR8ayBDGdoagr+i2IvW132rCMDoPeT9/hxRLzeHI8m89AVODoyCUNBASwbyOFlLagGdH8BHZkGU7WtgfspNDmJQCfpurWcYz6O42A3G3PylSqh39zcDLPZjAMHDrCfBYNBvPzyy2hvb9fqo1n2iPIZCIcz/3oZfwUdax6O3bsBAG6x5mw1g7rFW9atg7GwMMej0bEaYaqrg7GyEkIwCO/Ro7keTkYR5S+g10PryBAca8gwjbUpXMbZTR0rG/bLxfvp5ZezcpDJJSjRZmlt1WM+jeFwOPD+978f9913H/7yl7/gzJkzuPvuu+HxeHDXXXflenhZA2cygTOZAEHISjJIJwZ0ZBzWjg7wDgcis7PwnzuX6+FkFFIZgX6I0ZEZEJ8BsS56latwfCdOQPD7YSgpgbmxMdfD0bFKQSXAVBK8WiEIAivN0RU4OjIF64YNJOabm4Nvlcd87peWfxnBSsZXvvIV3H777XjHO96B7du3o7OzE48++igK1xAJE+UzsJD5cgKdGNCRcXBGI3NPd794MMejySz0tmo6sgGakXG/tLrvJ5bdvGyX7i+gI2Ow79oFGAwI9l1CcHg418PJGAJdXQhPToKzWmHdtCnXw9GxSiGP+TyrvJyAeeCIe7KO9PHggw/i97//PQDAarXiP/7jPzA+Pg6fz4fnn38eu9Zg4i2bBoQ6MaAjK7DvEcsJVvFBJjQ+Lutlu/YWLh3ZA5UB+06eQnh+PsejyRz07KaObMDgdMK6cSMAKQO4GuFm/gJbdX8BHRkFKydYxfdTcGwMge5ugOPWROtgHbkDIwZ8mfcZ0IkBHVkB9RnwvHIYQjCY49FkBu4XXwQAWNvbl20vWx2rA6aqKpjq64BIBJ5XXsn1cDKCiNcL75EjAHRiQEfmQcm21Zzh1LObOrIFKq33vPIKhFAox6PJDOj9ZNnQBoPLlePR6FjN4M1myWfA48nsa2X06jp0iLCsXw9DYSEEjwfek6dyPZyMwC06pzpkPVd16MgUHJeLZNsqPch4Xn4ZQjAIY1Wl7i+gI+OwXy6p2gRByPFotIcQDsMjktc60aYj07C2tYHPz0fE7YZvlfac97BSN51o05F5ZKucQCcGdGQFHM9LddEHX8zxaLSHIAhYeOEFADoxoCM7YIZpq1SqSYk25xX7dH8BHRmHffs2wGRCaGgYwYGBXA9Hc/hOn0Z4dhZ8Xh5smzfnejg6Vjk4g4GZMLsPrr4SUkEQ4BZjPt14UEc2wDudAIDIwkJmXyejV9ehQwbaf92zCp3U/RcuIjw+Ac5mg237tlwPR8caAJUD+8+eRWh6Osej0R4Lz+sKHB3ZA2+3wyYa8q3Gg8zC888DIGV9nNGY49HoWAtgraoPvJDjkWiPYF8fIRBNJjh0BY6OLMBAiQGfL6Ml2ToxoCNroIoB79GjiPh8OR6NtqDZTfuunbqpk46swFhSAsu6FgCrr5wgODyMQFcXwPNwiMalOnRkGo49ewCszoOMmxJt+/bleCQ61gqc+8lc8xw+nBU39Wxi4TlCtNl37GASbx06MgnOaARvtQIAwhm8n3RiQEfWYG5ogLGiAkIwyEzFVgsk2bOe3dSRPdh304PMgRyPRFtQiaZt0ybd1ElH1kAPMu4XXlhVhmnh+Xl4jx8HADj36XuUjuzAVF8PU20tEAzCvcrI64XnnwOg3086sgvemQcAiMxnrpxAJwZ0ZA0cxzFp2cIqOshE/H7mDK/LnnVkE84r9wMAFp57blUZpjHZs34/6cgirCIRFZmbg/fEiVwPRzO4X3wRCIdhbmyEqbo618PRsUbAcZxEtokH6dWAiN8vdfjYvz/Ho9GxlsDnST4DmYr5dGJAR1bhvOpKAID72WdzPBLt4D18GILfD2NZGczNzbkejo41BPuuXeAsFoRGRuC/cDHXw9EEQjgMzwvEoFSXPevIJjiDgZFRC6toj9LLCHTkCo59Inn97Oohr72HD0PwemEsLYVl/fpcD0fHGgJvs4HjeQjhEIQMlWTrxICOrMKxdy/A8/Bf7ERwcDDXw9EEC7I2hbp7uo5sgrdape4Ez62OgwxzT3c6Ydu8KdfD0bHG4BBVOG6xhnilQxAEuEUFji571pFtOC6/DDCZEBwYQLCvL9fD0QTUX8CxT++YoyO74HgevIOoBsIZKifQiQEdWYXB5YJtG3HtX3hudUjLqFGVLnvWkQs4r7wKAMnIrAZQvwTHHt09XUf24RSz6r7TpxGamMjxaNJHoKcXwaEhcCYTax+nQ0e2wDscsO/YAUA6UK90MKJtv67AyQTuvPNOcBy35Ovmm2/O9dCWBXgnMbuMLMxn5voZuaoOHQngvJKUEyw8s/IznKGJCfjPnQMAOPbuyfFodKxFUJ8Bz5EjCGe4v202IClw9KBLR/ZhLCmBtb0dgOR1sZJBDzG2nTvA2+05Ho2OtQiqVHGvgvspODIC/8WLAMfBvkeP+TKFm2++GcPDw1Ffv/zlL1O6liAICK0iM1k+TzQg9HohhMPaX1/zK+rQkQTMZ+DgQUT8/hyPJj24XyS10Jb2DTAWFeV4NDrWIsx1dTDX1wOhEHPzX6kILyzAe4y4pzt02bOOHGE1lRMsHKBlBDrRpiM3oAZ97kOHVn7MJ5Ib1s2bYCwszPFoVEAQgIA7N18peEtYLBZUVFREfRUWFqK3txccx+HYsWPssTMzM+A4Dk8//TQA4OmnnwbHcfjzn/+MHTt2wGKx4Pnnn4ff78e9996LsrIyWK1W7Nu3Dy+//DK7Dn3eH//4R2zevBlWqxW7d+/GqVOn2GMmJyfx1re+FdXV1bDb7di0aVPKhEWq4M1mcGYzIAgZaQOq6zR1ZB2W1lYYy8oQGhuD5+VXVnTdI5VvO/fuzfFIdKxlOK68EoH//m+4n3sO+TfemOvhpAzPSy8BoRDM9fUw19Tkejg61iic+/dj8j+/D/fzz0MIh8EZDLkeUkqI+P3wiG3idONBHbmCZf16GEtLERofh/fwYeI1tUKxIBp5OvetsG4EQQ/wparcvPanhwCzI+sv+8lPfhL/9m//hqamJhQWFuLjH/84fvOb3+CnP/0p6uvr8bWvfQ033XQTOjs7USRL7N1333345je/iYqKCnz605/Ga17zGly4cAEmkwk+nw87duzAJz7xCeTn5+OPf/wj3vGOd6C5uRmXXXZZ1t6bwelEaGoK4YUFGPLzNb22rhjQkXVwHMdUAwvPPpPj0aQOIRjEwjNk/M5rrk4VAm4AADw2SURBVMnxaHSsZbDynBXu/EyJNt2vQ0cuYduyBXxeHsKzs/DJskUrDd7DhyH4fLp7uo6cguM4phpYyT4DgkyVpyvaMotHHnkETqcz6utLX/qSqmt87nOfww033IDm5mZYLBZ873vfw/33349bbrkF7e3t+OEPfwibzYYf//jHUc/7l3/5F9xwww3YtGkTfvrTn2J0dBS/+93vAADV1dX42Mc+hq1bt6KpqQkf+tCHcPPNN+Ohhx7S7L0rAe8U2xbOz2se8+mKAR05gePKKzHz6/+F+5lngU9/OtfDSQmew0cQmZuDobAQtq1bcz0cHWsY9st2gbNaERodhf/CBVhbW3M9JNUQIhHMP/kEAMB5zdU5HYuOtQ3OaIRj717MP/ooFp59DrYtW3I9pJQgJ9p093QduYRz/z7M/va3cD//HPCJj+d6OCnBe+IkInNz4F0u2DatsI45JjvJ3OfqtVXimmuuwfe+972onxUVFWFubk7xNXbu3Mn+3dXVhWAwiCtkSQeTyYTLLrsMZ8+ejXreHpl3RFFREVpbW9ljwuEwvvSlL+Ghhx7C4OAgAoEA/H4/7Fn2b+EdDoDjIASDEAIBcBaLZtfWiQEdOYFjzx7AZEKgrw+B3l6YGxpyPSTVYIeYq69esVJTHasDvMUC++WXwf3Ms1h49tkVSQz4Tp5EeHyCuFhffnmuh6NjjcN55X5CDDz3HEo/9MFcD0c1BEHA/BOUaNMVbTpyC8eePVKr6uFhmCorcz0k1aAKV8eePSuvYw7H5UTOnyocDgdaWlqW/HxBNFiWZ8mDwWDca2iN+++/H9/85jfxjW98A5s2bYLD4cCHP/xhBAIBzV8rETiDAbzdjojbjcj8PHgNiQG9lEBHTmBwOqUWNiuwzZogCFh44kkAQN511+Z4NDp0SOUE7hV4PwHA/OPiIeaqK8GbzTkejY61DodYQ+w7eRKh6ekcj0Y9/BcuItjfD85i0duq6cg5DAUFTHkz/+STOR5Naph//HEAQN61OtGWK5SWlgIAhoeH2c/kRoTx0NzcDLPZjANi1yOAEAovv/wy2sUuNBQHDx5k/56ensaFCxewYcMGAMCBAwfwute9Dm9/+9uxZcsWNDU14cKFC+m8pZRBvQXCKlQUSrBiiIGpqSnccccdyM/PR0FBAe666y7GHMWDz+fDPffcg+LiYjidTtx+++0YHR2Nesy9997LXCu3xpGDnzhxAvv374fVakVtbS2+9rWvafW21jSkuuiV17bQf+EigoOD4CyWFW2ko2P1gN5PnqNHEZ7PTH/bTIIGi85rr8vxSHToAEzlZbBs2AAIAhaefCrXw1GN+ccfAwA49u7V2xTqWBbIu/56ANIBeyXB392DQGcXYDTCefXVuR7Oqoff78fIyEjU18TEBGw2G3bv3o2vfOUrOHv2LJ555hn80z/9U9LrORwOvP/978d9992Hv/zlLzhz5gzuvvtueDwe3HXXXVGP/dznPocnnngCp06dwp133omSkhK8/vWvBwCsW7cOjz32GF544QWcPXsW733ve5ecK7MFXiQGIh4PhDiqiZSuq9mVMow77rgDp0+fxmOPPYZHHnkEzz77LN7znvckfM5HPvIR/OEPf8Cvf/1rPPPMMxgaGsJtt9225HHvfve78eY3vznmNebm5nDjjTeivr4ehw8fxv3334/Pfvaz+MEPfqDJ+1rLoAaEnkOHEPF4cjwadVgQywj0oEvHcoH5/7d353FRlfsfwD9nZhgYlmGTVUVAZSmRADeu5s0N1PS6a2WmplbulqbVzzRLwza74p4VuKZpmmmJu6ZeV9TcKRWXFARF9mWYmfP7A5gccUEdOAPzeb9e83rBOWee5+s8c+Sc73mWunWh9PcHtFrk7q5ek3oWJSdDc/EiYGVl+H+BSGoO7UuSVDnbtkkcyeMrG0ZQdjNGJDWHDiXfxfzDR6pdL5yyZIZd8+YmnwWeyktISICXl5fRq1Xpyirff/89tFotIiIiMG7cOEyfPr1CZc6cORO9evXCgAEDEB4ejgsXLmDLli1wvmfZyZkzZ2Ls2LGIiIhAamoqNm7cCGVpL8bJkycjPDwc0dHReOGFF+Dp6WlIGlQ1mZUVZCoVAJj0YVC1GCRz7tw5JCQk4MiRI4bJJObMmYPOnTvjyy+/hLd3+SU4srKy8N1332HlypVo27akq3dcXByCg4Nx8OBBtGjRAgAQGxsLAEhPT8fJkyfLlbNixQpoNBp8//33UCqVePbZZ3HixAnMmjXrkYkJejilvz+s6tZF8bVryP19L9Qdo6UOqcJydpQ93WSXMjIfDlEdcHvhIuRs3QLHrl2kDqfCckt7C9g1bQq5g4PE0RCVUEdF4dacucjbv79kWajSmaDNnebv6yg6ew6QyTiRJ5kNpY8PrIOCUHT+PHJ37YZTzx5Sh1RhhmEEHZhoq2zx8fGIj49/4P7g4GD8r3R1iDJ3zznwwgsv3HemfhsbG8TGxhru+x6kVatWOP2A1WhcXFzw888/P/T9VUmmVkNfUFAynMBEDymrRY+BAwcOwMnJyWiGyfbt20Mmk+HQoUP3fU9iYiKKi4vR/q5seVBQEHx8fHDgwIHHqrt169aGbBEAREdHIykpCXcekPEsKipCdna20YvKEwQB6uiSNdeztyRIHE3FFd+8WbKElSDAgZM6kRlRR5ck13J/3wt9Xp7E0VScYX6B9hxGQOZD2aABlH5+JUvTVqNeOGU92mwjIqC4a31uIqmV3VhXp144xampKDx5EhAE2LflnFJkPsp6r+jz8iDqdCYps1okBlJTU+Hu7m60TaFQwMXFBampqQ98j1KphJOTk9F2Dw+PB77nQeV4eHiUK6Ns3/3ExMTA0dHR8Kpbt26F67M0DtEdAQC5u/dAX1AgcTQVU/Z0UxUaCkWtWhJHQ/QP66AgWPn4QCwqQu7e6jEJofbWLRSUTh7kwIsuMiOCIMAhqiR5nbN1q8TRVFzOttKnm0y0kZlxaN8BAEp74VSP5HVZ4lr13HOwuudehEhKMmvrkqUKRRE6Ez0MkjQx8N5770EQhIe+zp8/L2WIT+T9999HVlaW4XXt2jWpQzJbNo2ehVXt2hALCqrN6gQ5pRNR2XM1AjIzgiBAHVVy4ZW9ZYvE0VRMzq5dgCjCplEjWHl6Sh0OkRGHDiXnU+7evdUiea29cwf5iYkAAPt27PZM5sU6oCGs6vlA1GiQt6+aXPOVDSPgfB01WtkQhHsfKJs7ucM/vQZMQdLEwPjx43Hu3LmHvvz9/eHp6Ym0tDSj92q1WmRkZMDzAReSnp6e0Gg0yMzMNNp+8+bNB77nQeXcO+Nk2e8PKsfa2hpqtdroRfcnCAIcSrs/51SD4QS63Dzkly5l4tCOT2PI/JSdT7l7foe+sFDiaB4td3vZJGk8n8j82Dz7zD/J6337pA7nkXJ37gL0elgHB0NZp7bU4RAZEQQB6tJkW85W8x9OoL1zB/lHjgDg/AJknuTqknmZxLy8+86t8LgkTQy4ubkhKCjooS+lUonIyEhkZmYisTQLDgA7d+6EXq9H8+bN71t2REQErKyssKN0Zl4ASEpKwtWrVxEZGVnhGCMjI/H777+j+K6lILZt24bAwMByM1nSkymbdDBn9x6zv5HJ3bMbYnExlPXqQennJ3U4ROXYNGoEhbcXxPx85Jn5jYw+Lw95pXO+cOwmmSNBEAy9BqrDjYxhNQImrslMGXrh7N4NfVGRxNE8XO7uPYBOB+vAQCh9fKQOh6gcQaWCYGUFUa+HaILzqVrMMRAcHIyOHTti2LBhOHz4MPbv349Ro0bhpZdeMqxIcP36dQQFBeHw4cMAAEdHRwwZMgTvvPMOdu3ahcTERAwePBiRkZGGFQkA4MKFCzhx4gRSU1NRUFCAEydO4MSJE9BoNACAV155BUqlEkOGDMGZM2ewevVqzJ49G++8807VfxA1lE1IiOFGxtzHRWdv3AQAcOjUEYIgSBwNUXklT2TKJvU073HRuXv2QNRoYFW3LqwbNpQ6HKL7KptnIHfXLuhLrw3MkT4/H3n79wPg000yXzYhIVB4eJR8Xx9jMnAplE2SyGEEZK4EQTCs5iSa4OFqtUgMACXLBgYFBaFdu3bo3LkzWrVqhW+++cawv7i4GElJScjPzzds+/rrr9GlSxf06tULrVu3hqenJ9atW2dU7tChQxEWFoZFixbhzz//RFhYGMLCwnDjxg0AJQmGrVu3Ijk5GRERERg/fjymTJnCpQpNqGRcdGmvgQTzHRetvXPH0JXUsWtXiaMhejDDcIKdO836RiZrwy8AAPWLnZloI7Olei4UCjc36HNzkW/GNzI5u3ZBLCqCVZ06sA4IkDocovsSZDJDjxZzXp3AKNFWOncPkTmSla1OUFgIUat9qrIUpgioKri4uGDlypUP3O/r61tubIWNjQ3mzZuHefPmPfB9u3fvfmTdjRs3xl4zf5Jd3ak7RiMjPr7kiUxhIWQ2NlKHVE725s2AVgubZ56Bdf36UodD9ECq50KhcHeHNi0Nefv3m+Wymtrbt/9JtP3nPxJHQ/RggkwGhw7tcWflD8jetg32//631CHdV9aGDQAAddcuTLSRWXOI6oA7K1cid8dOiFM1EO5aEtxc5OzYUZJo8/Fhoo3MmszWFoJcAej1yD92DKrWrZ+8LBPGRfTEbEJDofDyMsrQmpuyYQTq/7C3AJk3QSa7a5k183wik/3rb4BOB5tGjWDt7y91OEQPZRhOsG27WfbC0aanI29fyd9OJtrI3Nk2aQK5Wy3oMjPNdghp1vr1AErOJybayJwJMhlkDvYA/pln5kkxMUBmoWQ4Qem4aDMcTqC5dg0Fx48DMhnUnTtLHQ7RI6mjSxMD27aZ5TJrWRs3AuBNDFUPtk2bQuHuDl1WFnJ37ZY6nHKyNv0K6PVQhYbCmhPjkpkTFArD//2Z69ZLHE15xSkpyDtQsgKVY/duEkdDliA+Pv6plkqUlw4nyD9wELqsrCcuh4kBMhsOZasTbN8OXW6uxNEYy95U0lvArkULWLm7SxwN0aOpIiJgVbs29Lm5ZjeOs+hSMgpPnQLkcqhfZKKNzJ8gl8Oxe3cAQOa6n6QN5j7KhhHwJoaqC6fS8yl3zx5ob9+WNph7ZG34BRBF2DZtCmWdOlKHY3FSU1MxduxYNGjQADY2NvDw8EDLli2xYMECo7nk6B+CtTUEhQJicTGyNz/58u9MDJDZUD33HJT+/hALCkq6GZsJURSR9UvJ0001Jx2kakKQyeDYswcAIHOted3IZP1SchNj36oVFK6uEkdDVDGOPboDAPL27kPxzTRpg7lL4fnzKDp/HrCygrpTJ6nDIaoQ64YNYRMSAmi1hocv5kAURWT9/DMAwLFHD2mDsUCXLl1CWFgYtm7dik8//RTHjx/HgQMHMHHiRGzatAnbt2+XOkSzJAgCBFtbADB8f58EEwNkNgRBgFPv3gCAzLVrJY7mH4VnzkKTnAzBxoZLQFG14tSjByAIyD98GJqrV6UOBwAg6vXILk20OXbjMAKqPqz9/KCKiAD0esMTenNQtrqHwwsvQP4UXVGJqlpZsi1z/c+SxnG3wj/+gObyZQgqlWFukepOFEXkF+dL8rp3YvhHGTFiBBQKBY4ePYq+ffsiODgY/v7+6NatG3799Vd0LX1AN2vWLISEhMDOzg5169bFiBEjkHtXb+OyrvlbtmxBcHAw7O3t0bFjR6SkpAAAfv/9d1hZWSE1NdWo/nHjxuH55583KmPTpk0IDAyEra0tevfujfz8fCxZsgS+vr5wdnbGmDFjoNPpDGUUFRVhwoQJqF27Nuzs7NC8efNyk93Hx8fDx8cHtra26NGjB27fp9fMhg0bEB4eDhsbG/j7+2PatGnQPmTVAZlKBchkKDhxAkXJyY/1uZepNqsSkGVw7N4NaV9/jcJTp1B4/jxsgoKkDgnZG0svutq2gdzeXuJoiCrOytsbdi1bIm/fPmT+tA7ub4+TOiQUHDuG4hs3ILOzg33btlKHQ/RYnHr2QEFiIrLWrYPrsKGST0omarXI2lSaaOMwAqpmHDt3RlrMTBSdP4/Cc+dgExwsdUiGJIU6qgPk9nbSBmMiBdoCNF/ZXJK6D71yCLZWthU69vbt24aeAnZ29//sy/7PlclkiI2NhZ+fHy5duoQRI0Zg4sSJmD9/vuHY/Px8fPnll1i2bBlkMhleffVVTJgwAStWrEDr1q3h7++PZcuW4d133wUAFBcXY8WKFfj888+NyoiNjcWqVauQk5ODnj17okePHnBycsJvv/2GS5cuoVevXmjZsiX69esHABg1ahTOnj2LVatWwdvbG+vXr0fHjh1x6tQpNGzYEIcOHcKQIUMQExOD7t27IyEhAVOnTjX6d+7duxevvfYaYmNj8fzzz+PixYt44403AKDcsYbPRi6HTUQ4iq5fR9Yvv8B97NgKfe53Y48BMisKFxfD+raZa6TvNSAWFyPrt5JhDRxGQNWRU+9eAEpmWH7a9W1NwfB0MzraLJclJXoYh+iOEGxtobl8uWRCWonlHTgAXfotyJ2cYF/6lIuoupA7OcG+7JrPDCYh1BcVIbv0mo/DCKrehQsXIIoiAgMDjbbXqlUL9vb2sLe3x6RJkwCUPNlv06YNfH190bZtW0yfPh0//vij0fuKi4uxcOFCNGnSBOHh4Rg1ahR23DVr/5AhQxAXF2f4fePGjSgsLETfvn2NyliwYAHCwsLQunVr9O7dG/v27cN3332HZ555Bl26dEGbNm2wa9cuAMDVq1cRFxeHNWvW4Pnnn0f9+vUxYcIEtGrVylDX7Nmz0bFjR0ycOBEBAQEYM2YMoqOjjWKfNm0a3nvvPQwcOBD+/v7o0KEDPvnkEyxatOihn6G69HzK2rABol5foc/9buwxQGbHqU9v5CQkIGvjRri/O0HSm4ec7dtLLrpcXWHfqpVkcRA9Kfu2bSF3coI2LQ25+/bB4YUXJItFn5+P7ISSSXG4GgFVR3J7O6ijo5G1fj0yf/oJtuHhksaT9XPJkAb1iy+a5VrwRI/i1KM7chISkL1xIzzenSDp9zh3xw7oc3Kg8PaCbbNmksVhaiqFCodeOSRZ3U/r8OHD0Ov16N+/P4qKigAA27dvR0xMDM6fP4/s7GxotVoUFhYiPz8ftqVj7W1tbVG/fn1DOV5eXkhL+2d+mEGDBmHy5Mk4ePAgWrRogfj4ePTt29eot8K9ZXh4eMDX1xf2d/Ug9vDwMJR76tQp6HQ6BAQEGP0bioqK4Fo6p9K5c+fQ457EU2RkJBIS/pk08I8//sD+/fsxY8YMwzadTlfu33gv2xYtIHNwgPZGCvIPH4Fdi8frKcLEAJkdu8hIWNWujeLr15GzdaukNxAZS5cBAJxfegmClZVkcRA9KZlSCcdu/0HGkqXI+uknSRMDmT//DH1ODqx8fGDbrKlkcRA9DadePZG1fj1yNidA/8EHkD2gy2tl02ZkIKd0Ii7O10HVlV3LllC4uUGbno6cPXug7tBBslgyyyYd7NYNgqzmdKoWBKHC3fml1KBBAwiCgKSkJKPt/v7+AACVqiTJcPnyZXTp0gXDhw/HjBkz4OLign379mHIkCHQaDSGm2are67bBUEwmvPA3d0dXbt2RVxcHPz8/LB58+ZycwHcr4z7bdOXPp3Pzc2FXC5HYmIi5HK50XH2jzEcOTc3F9OmTUPPnj3L7bN5yANTmbU11B07InPNGmStX/fYiYGa862nGkOQyQzdnzN/XCNZHAWnTpd0FbWygvNL/SSLg+hpOfYqOZ9ydu2G9tYtSWIQ9XrcWbIUAOAyYECNuugiy6KKiIBVPZ+SHjBbtkoWx52VP0AsKoJNo0Yls7sTVUOCQmFIbGWu/vERR1eeouRk5O3dBwBw6sb5OqTg6uqKDh06YO7cucjLy3vgcYmJidDr9fjqq6/QokULBAQE4MaNG09U59ChQ7F69Wp88803qF+/Plq2bPmk4QMAwsLCoNPpkJaWhgYNGhi9PD09AQDBwcE4dMi4B8fBgweNfg8PD0dSUlK5Mho0aADZI66fDENIf9uM4rTHW0GHV2Zklhx79ABkMuQfPfrEM2s+rYxlJTcx6k4doXBzkyQGIlOwCQiATePGgFb7VMvYPI3cPXuguXIFMgcHOPXk2E2qvgRBgFPPkguvO8uXP/as26agLyzEnZUrAQAugwdJPgki0dNw6tsXkMmQt28fCu95WlxVMuLiAVGEfZs2UPr6ShIDAfPnz4dWq0WTJk2wevVqnDt3DklJSVi+fDnOnz8PuVyOBg0aoLi4GHPmzMGlS5ewbNkyLFy48Inqi46OhlqtxvTp0zF48OCnjj8gIAD9+/fHa6+9hnXr1iE5ORmHDx9GTEwMfv31VwDAmDFjkJCQgC+//BJ//fUX5s6dazSMAACmTJmCpUuXYtq0aThz5gzOnTuHVatWYfLkyY+MQRUaClV4OFBcjDvLVzxW/EwMkFmy8vSEfevWAIDMVauqvP7itDRkby45SV0GvFbl9ROZmnPfPgBKhsfoNZoqrz9jaUmizalPH8m6XhOZilPfPhBUKhSePYu8//2vyuvP2rgRuowMKLy9oL5n0iqi6kbp42NYGjDj+++rvH7trVuGpLnrkNervH76R/369XH8+HG0b98e77//PkJDQ9GkSRPMmTMHEyZMwCeffILQ0FDMmjULn332GRo1aoQVK1YgJibmieqTyWQYNGgQdDodXnvNNNf7cXFxeO211zB+/HgEBgaie/fuOHLkCHx8fAAALVq0wOLFizF79myEhoZi69at5W74o6OjsWnTJmzduhVNmzZFixYt8PXXX6NevXoVisH19ZIkx51Vq6B/SO+LewmiFKluC5OdnQ1HR0dkZWVBrVZLHU61kbt3H64NGwbBxgYNdmyHonTSjqqQHjsHt+bPhyosDL4/rKyyeokqi16jwcUOUdDevAnPj6fB+a5ZdytbYVISkrt1B+RyNNi2FVbe3lVWN1FlSf30U9xZugy2LVqgXnzco99gIqJej0td/wPNxYtwnzjRcAFIVJ0VnDqNy336AAoFGmzdUqV/J9Jmz8btBQthE9oYvqtWVfseOIWFhUhOToafn99Dx6NTiSFDhiA9PR2//PKL1KE8sXvbXNTpcKnzi9BcuQLV22/D7603K3Qfyh4DZLbsWrWETUgIxMJCZMTHV1m9eo0Gd1avBgC4vDagyuolqkwypdJwA3F78bdVunRhRuncAg5RHZgUoBrDddAgQKFA/sGDKDh5ssrqzdu7F5qLFyGzs4NTn95VVi9RZVKFNIJtixaAVouMJUuqrF59fj4yV/4AAHB9fUi1TwpQxWVlZWHfvn1YuXIlRo8eLXU4JiXI5XAZPAgADMPOKoKJATJbgiCg1vDhAIA7K1ZCe+dOldSb/etv0N2+DYWnJxzat6+SOomqglOfPpA7O6P42jVkb95cJXVqb91C9saNAADXgQOrpE6iqmDl7Q3Hrl0BALcXL66yem/HxQMoPZ8dHKqsXqLK5jpkCADgzpq10GVmVkmdmT+tgy4rC1b1fODQvl2V1EnmoVu3boiKisJbb72FDhKuhlFZHLt3h9zZGdrHmJiRiQEya/ZtXoB1cDD0+fmGMcqVSdRqcfvbbwEAzq+8wiUKqUaR2drCpfTm/NaiRRBLl9epTHdW/gCxuBg2oY2heu65Sq+PqCq5Dh0CCAJytm1H0cWLlV5f4blzyD94EJDL2aONahy7Vi1hHRQEMT8fd6pgfilRqzX0SHUdNAjCPcvLUc22e/du5Ofn4+uvv5Y6lEohs7GBc//+j/eeSoqFyCRKeg28BQC4s2w5dNnZlVpf5tq10Fy8CLmjI5copBrJuf8rkDk4QHPhInJ37qzUurTp6YYuoa6DBlVqXURSsK5f3/CU8fa331V6fbcWfQMAUEdHc1gO1TiCIBh6DWQsWw59YWGl1pezdSuKr1+H3NkZjt27V2pdRFJwfuVlCNbWFT6eiQEyew7t28O6YUPoc3ORsXx5pdWjy81F+py5AIBaI0dCzokiqQaSOzjAuf8rAIBbCxdV6lJr6bGx0OflwSYkBA6cOZ1qKNdhwwCUrBRQ/IRraVdE/pEjyElIAGQyuL4xrNLqIZKSulNHWHl7Q3f7Nu6Ujv2vDHqNBmmzZwMo6SEqU6kqrS4iqShcXKDu2qXCxzMxQGZPkMng+tabAEomMdPl5lZKPbcXfwvd7dtQ1qvH3gJUo7kMHFiy1Nrp08jdsaNS6ig8dw6Za38CAHi8/z4EGf/cUM2katwYtpElk6bd/OzzSqlD1GqROn0GgJKlEm2CgiqlHiKpCQoFao0cAQC4NXcuim/erJR6Mr7/HsVXrkLh5maYpI2oJnIZUPFhZ7xSo2pB3bEjlP7+0GdlIX2W6ccCFaekGMaZub87AYJSafI6iMyFwtnZ8Ici9ZPpJk+2iaKIm5/GAKIIdefOsA0PM2n5RObG4733ALkcOVu2IGfXLpOXn7lmDYqSkiBzdITb2LEmL5/InDj26AHVc89Bn5+PmzNnmrz84uvXcWvhIgCA+8SJkNvbm7wOInOhrFOnwscyMUDVgiCXw/PDyQBKlt3IO3zYpOWn//e/EIuKYNukCezbcVZaqvlqjRgOKx8faG/eRNpXX5m07Jzt25F/5AgEa2u4j3/HpGUTmSObwEC4lj51TP3kE+jz801Wti4zE+n/Leny7DZmNBTOziYrm8gcCTIZPKdOAWQy5GxOQO6+/SYt/+bMmRALC2HbtCnUXV40adlE1RkTA1Rt2EVGwqlvXwBAyuQPoS8oMEm5BadOIWvDLwAA90mTuIYtWQSZjQ28Pv4YAJD5wyrkJyaapFy9RoO0z78AALi8PhhWtWubpFwic1drxAhY1a4N7Y0UpM+dZ7Jy02PnQJeVBeuAADj34zA3sgw2wcFwfrVkRvXUTz6GvqjIJOXm7t2LnG3bAbkcHh9O5jUf0V2YGKBqxX3iu1B4eaH46lWk//e/T12eLjMT198ueaKp7toVqpBGT10mUXVh16I5nPr0BlCabDPBhVf6rK9RfO0aFG5uqDV06FOXR1RdyGxtS55yAshYsgSF5849dZkFp04blm3z+L//g6BQPHWZRNWF25gxULi5ofjKVdz+7ulX/dBrNEidPh1Aybhrm4CApy6TzE98fDycnJwMv3/00Ud47q7lkgcNGoTuXIXivpgYoGpFbm9veMqZsXQZ8o8de+KyRJ0O18dPQPHff8OqTh14/t8HpgqTqNpwnzABcrda0CQn49aCBU9VVua69Ya5Ojw+nAyZnZ0JIiSqPuxbt4ZDp46AToeUD6c8VbKt+OZN/D1yJKDXw6FTR9g1b2bCSInMn9zeHu7vTQIA3F64CPnHjz9xWaIoIvXDKYYJB2uNGmmqMMnEUlNTMXr0aPj7+8Pa2hp169ZF165dscNEkyXPnj0b8aXXKo9iaUkEJgao2rF/vhUce/YERBE3Jr33xDPWps+ORd7+/RBUKtSZNxfyu7KLRJZC7ugIz8kfAgBuf7MYWZt+faJy8o8dR+rUqQBKulSro6JMFiNRdeLx/vuQOTig8PRpXH9nPMTi4scuQ5+Xh2vDh0OblgZlg/qGhDiRpVF37gz7tm0hajS49tZwFF248ETlpP93NrI2bADkcnh9OoMTDpqpy5cvIyIiAjt37sQXX3yBU6dOISEhAW3atMHIkaZJ5jg6Ohr1KKB/MDFA1ZLHe5Ng5e2N4mvXcGXAa4+9dnT2lq24/c03AACv6Z/AJjCwMsIkqhbU0VFw6tcP0OtxY+JEZG/e/FjvL75xA3+PHg2xuBgOHTrwSQxZNCt3d9SZMweCUoncHTtw4/0PIOr1FX6/qNPh+oR3UXT2HOSurqi7cBHkDg6VGDGR+RIEAbW//AKq0FDos7JwdegwFKekPFYZd1atwu1FJasQeH08DfbPP18ZoZotURShz8+X5CWK4mPFOmLECAiCgMOHD6NXr14ICAjAs88+i3feeQcHDx4EAMyaNQshISGws7ND3bp1MWLECOQ+xupK9/YCWLt2LUJCQqBSqeDq6or27dsjLy8PH330EZYsWYINGzZAEAQIgoDdu3cDAE6dOoW2bdsa3vPGG288VgzmioPVqFqSq9XwWboUVwcNQvHVq7jy6gD4LImHsm7dh75PFEVkb9yIlI+mAQBcBg+G44uckZbIc+oUiMXFyFq3DtcnvAvI5FBHP/qpv+bvv/H3yFHQ3b4N68BAeM+MgSBjzpksm12L5qgdOxt/jxqN7E2bILOzg+dHUx850Zmo0+HmpzHI3bULgrU16s6bC2UdTuBJlk1ma4s6CxfgSv9Xobl0CVeHDkO95csqtEJHzs6dSP34EwBArVGj4NSrV2WHa3bEggIkhUdIUnfgsUQItrYVOjYjIwMJCQmYMWMG7O4zFLHsKb9MJkNsbCz8/Pxw6dIljBgxAhMnTsT8+fMfO76UlBS8/PLL+Pzzz9GjRw/k5ORg7969EEUREyZMwLlz55CdnY24uDgAgIuLC/Ly8hAdHY3IyEgcOXIEaWlpGDp0KEaNGlXhIQrmildvVG0p69RGvWVLoaxXD8U3buDKqwNQcOr0A4/XZWfjxvgJuDFxEsT8fNg9/zyXUiMqJchk8PrkYzh26wbodLg+fjwyVqyAXqO57/GiXo+MlStx6T/dUJSUBLmLC+rOn8d5BYhKObzwAmp/8TkgkyFz9WrceHciNH9ff+DxBafP4HLffrizYgUAwPuzmVDdNWEWkSVTODvD59vFUHh6QnPxIi73ewnZW7Y+8Im09s4dpH78Mf4eNRrQ6+HUpzdqjRxRxVHT47hw4QJEUURQUNBDjxs3bhzatGkDX19ftG3bFtOnT8ePP/74RHWmpKRAq9WiZ8+e8PX1RUhICEaMGAF7e3vY29tDpVLB2toanp6e8PT0hFKpxMqVK1FYWIilS5eiUaNGaNu2LebOnYtly5bh5hMObzYX7DFA1ZqVlxd8li3F1cGvl/yh6NMHqvBwOL/8MhyioyAWFEBz+TKK/voL6fPmQ5uSAsjlcBs1Eq7DhnGGZ6K7CKVjL0VRj+xfNuLmJ9Nxa+FCuLw6AM4v9QPkCmjT0qBNTcGthYuQf/gwAEDVJALen37KpQmJ7qHu1An6/Hyk/N9kZG/ahOyEBDj16AHXN9+EwtkJutxc6LOzcWf1j7izciWg10Pm4ACPDz6AumNHqcMnMitW3t7wWfwNrr4+BMVXr+L62LFQhYbCbfw7sK5fH6JWB+i0yNm+Helz50GfnQ0AUP+nKzynPrrHTk0lqFQIPGaaJYmfpO6Kquiwg+3btyMmJgbnz59HdnY2tFotCgsLkZ+fD9sK9k4oExoainbt2iEkJATR0dGIiopC79694fyQ3ijnzp1DaGioUa+Gli1bQq/XIykpCR4eHo8VgznhXRFVe1bu7qi3dAluzvgU2Vu3ouDYMRQcOwbhgw/KTfpkVc8HtT//HKrQUImiJTJvglwO75gY2DzzDDLil0Cbmor0r78uWR70nj/agkoF9/Hj4fzKyxw+QPQATr16Qenvj1tz5iLvf/9D5po1yFyz5r7Hqrt0gcekiVC4uVVxlETVg3XDhvDfvBkZ33+P23FxKPjjD1x9beD9jw0MhMf778OuRfMqjtK8CIJQ4e78UmrYsCEEQcD58+cfeMzly5fRpUsXDB8+HDNmzICLiwv27duHIUOGQKPRPHZiQC6XY9u2bfjf//6HrVu3Ys6cOfi///s/HDp0CH5+fk/7T6p2eCVHNYLC1RW1Z32FBjt3oNaY0VB4ehqSAgoPD9g2bw7XN9+E/7p1TAoQPYIgl8N10CA02LoF3p/NhHVAgCEpILO3h7J+fTh06gj/XzbA5dX+TAoQPYJtWBh8vv8O9VaugN2/Iv/ZIZdD7ugIm5AQ1P3uW9T+8gsmBYgeQW5vB7cxo1F/SwKc+vWDYGVVukMOwcoKCm8veE6bBr91P1l8UqA6cXFxQXR0NObNm4e8vLxy+zMzM5GYmAi9Xo+vvvoKLVq0QEBAAG485gTk9xIEAS1btsS0adNw/PhxKJVKrF+/HgCgVCqh0+mMjg8ODsYff/xhFOP+/fshk8kQWM0nM2ePAapRrNzd4TZiBGq98QY0167Byt2dY56JnpCgVMKxWzeo//MfaG/ehNzBgecT0VOwDQ+Hz/ffQ5eVBcHKCoJKZbHdm4melpW7O7ymfQTPqVOA0lnjqXqbN28eWrZsiWbNmuHjjz9G48aNodVqsW3bNixYsACrVq1CcXEx5syZg65du2L//v1YuHDhE9d36NAh7NixA1FRUXB3d8ehQ4eQnp6O4OBgAICvry+2bNmCpKQkuLq6wtHREf3798fUqVMxcOBAfPTRR0hPT8fo0aMxYMCAaj2MAGCPAaqhBIUC1n5+vIkhMgFBEGDl6cnzichE5I6OkNna8kaGyAQEmYznUg3h7++PY8eOoU2bNhg/fjwaNWqEDh06YMeOHViwYAFCQ0Mxa9YsfPbZZ2jUqBFWrFiBmJiYJ65PrVbj999/R+fOnREQEIDJkyfjq6++QqdOnQAAw4YNQ2BgIJo0aQI3Nzfs378ftra22LJlCzIyMtC0aVP07t0b7dq1w9y5c031MUhGEB93gUl6bNnZ2XB0dERWVhbUarXU4RARERERUQ1UWFiI5ORk+Pn5wcbGRupwqAo8rM0f5z6UPQaIiIiIiIiILBgTA0REREREREQWjIkBIiIiIiIiIgvGxAARERERERGRBWNigIiIiIiIqAbh/PKWw1RtzcQAERERERFRDSCXywEAGo1G4kioqpS1dVnbPymFKYIhIiIiIiIiaSkUCtja2iI9PR1WVlaQyfgcuCbT6/VIT0+Hra0tFIqnu7VnYoCIiIiIiKgGEAQBXl5eSE5OxpUrV6QOh6qATCaDj48PBEF4qnKYGCAiIiIiIqohlEolGjZsyOEEFkKpVJqkZwgTA0RERERERDWITCaDjY2N1GFQNcJBJ0REREREREQWjIkBIiIiIiIiIgvGxAARERERERGRBeMcA1VAFEUAQHZ2tsSREBERERERkSUou/8sux99GCYGqsDt27cBAHXr1pU4EiIiIiIiIrIkOTk5cHR0fOgxTAxUARcXFwDA1atXH9kgVPNkZ2ejbt26uHbtGtRqtdThUBVi21sutr1lY/tbLra95WLbWzZzbX9RFJGTkwNvb+9HHsvEQBUoW1fS0dHRrL4oVLXUajXb30Kx7S0X296ysf0tF9vecrHtLZs5tn9FH0xz8kEiIiIiIiIiC8bEABEREREREZEFY2KgClhbW2Pq1KmwtraWOhSSANvfcrHtLRfb3rKx/S0X295yse0tW01of0GsyNoFRERERERERFQjsccAERERERERkQVjYoCIiIiIiIjIgjExQERERERERGTBmBggIiIiIiIismBMDFSBefPmwdfXFzY2NmjevDkOHz4sdUhkYr///ju6du0Kb29vCIKAn3/+2Wi/KIqYMmUKvLy8oFKp0L59e/z111/SBEsmFRMTg6ZNm8LBwQHu7u7o3r07kpKSjI4pLCzEyJEj4erqCnt7e/Tq1Qs3b96UKGIypQULFqBx48ZQq9VQq9WIjIzE5s2bDfvZ9pZj5syZEAQB48aNM2xj+9dMH330EQRBMHoFBQUZ9rPda7br16/j1VdfhaurK1QqFUJCQnD06FHDfl7z1Vy+vr7lzn1BEDBy5EgA1f/cZ2Kgkq1evRrvvPMOpk6dimPHjiE0NBTR0dFIS0uTOjQyoby8PISGhmLevHn33f/5558jNjYWCxcuxKFDh2BnZ4fo6GgUFhZWcaRkanv27MHIkSNx8OBBbNu2DcXFxYiKikJeXp7hmLfffhsbN27EmjVrsGfPHty4cQM9e/aUMGoylTp16mDmzJlITEzE0aNH0bZtW3Tr1g1nzpwBwLa3FEeOHMGiRYvQuHFjo+1s/5rr2WefRUpKiuG1b98+wz62e811584dtGzZElZWVti8eTPOnj2Lr776Cs7OzoZjeM1Xcx05csTovN+2bRsAoE+fPgBqwLkvUqVq1qyZOHLkSMPvOp1O9Pb2FmNiYiSMiioTAHH9+vWG3/V6vejp6Sl+8cUXhm2ZmZmitbW1+MMPP0gQIVWmtLQ0EYC4Z88eURRL2trKykpcs2aN4Zhz586JAMQDBw5IFSZVImdnZ/Hbb79l21uInJwcsWHDhuK2bdvEf//73+LYsWNFUeS5X5NNnTpVDA0Nve8+tnvNNmnSJLFVq1YP3M9rPssyduxYsX79+qJer68R5z57DFQijUaDxMREtG/f3rBNJpOhffv2OHDggISRUVVKTk5Gamqq0ffA0dERzZs35/egBsrKygIAuLi4AAASExNRXFxs1P5BQUHw8fFh+9cwOp0Oq1atQl5eHiIjI9n2FmLkyJF48cUXjdoZ4Llf0/3111/w9vaGv78/+vfvj6tXrwJgu9d0v/zyC5o0aYI+ffrA3d0dYWFhWLx4sWE/r/ksh0ajwfLly/H6669DEIQace4zMVCJbt26BZ1OBw8PD6PtHh4eSE1NlSgqqmplbc3vQc2n1+sxbtw4tGzZEo0aNQJQ0v5KpRJOTk5Gx7L9a45Tp07B3t4e1tbWeOutt7B+/Xo888wzbHsLsGrVKhw7dgwxMTHl9rH9a67mzZsjPj4eCQkJWLBgAZKTk/H8888jJyeH7V7DXbp0CQsWLEDDhg2xZcsWDB8+HGPGjMGSJUsA8JrPkvz888/IzMzEoEGDANSM//MVUgdARFRTjBw5EqdPnzYaa0o1X2BgIE6cOIGsrCysXbsWAwcOxJ49e6QOiyrZtWvXMHbsWGzbtg02NjZSh0NVqFOnToafGzdujObNm6NevXr48ccfoVKpJIyMKpter0eTJk3w6aefAgDCwsJw+vRpLFy4EAMHDpQ4OqpK3333HTp16gRvb2+pQzEZ9hioRLVq1YJcLi83G+XNmzfh6ekpUVRU1cramt+Dmm3UqFHYtGkTdu3ahTp16hi2e3p6QqPRIDMz0+h4tn/NoVQq0aBBA0RERCAmJgahoaGYPXs2276GS0xMRFpaGsLDw6FQKKBQKLBnzx7ExsZCoVDAw8OD7W8hnJycEBAQgAsXLvC8r+G8vLzwzDPPGG0LDg42DCXhNZ9luHLlCrZv346hQ4cattWEc5+JgUqkVCoRERGBHTt2GLbp9Xrs2LEDkZGREkZGVcnPzw+enp5G34Ps7GwcOnSI34MaQBRFjBo1CuvXr8fOnTvh5+dntD8iIgJWVlZG7Z+UlISrV6+y/WsovV6PoqIitn0N165dO5w6dQonTpwwvJo0aYL+/fsbfmb7W4bc3FxcvHgRXl5ePO9ruJYtW5ZbkvjPP/9EvXr1APCaz1LExcXB3d0dL774omFbjTj3pZ79sKZbtWqVaG1tLcbHx4tnz54V33jjDdHJyUlMTU2VOjQyoZycHPH48ePi8ePHRQDirFmzxOPHj4tXrlwRRVEUZ86cKTo5OYkbNmwQT548KXbr1k308/MTCwoKJI6cntbw4cNFR0dHcffu3WJKSorhlZ+fbzjmrbfeEn18fMSdO3eKR48eFSMjI8XIyEgJoyZTee+998Q9e/aIycnJ4smTJ8X33ntPFARB3Lp1qyiKbHtLc/eqBKLI9q+pxo8fL+7evVtMTk4W9+/fL7Zv316sVauWmJaWJooi270mO3z4sKhQKMQZM2aIf/31l7hixQrR1tZWXL58ueEYXvPVbDqdTvTx8REnTZpUbl91P/eZGKgCc+bMEX18fESlUik2a9ZMPHjwoNQhkYnt2rVLBFDuNXDgQFEUS5av+fDDD0UPDw/R2tpabNeunZiUlCRt0GQS92t3AGJcXJzhmIKCAnHEiBGis7OzaGtrK/bo0UNMSUmRLmgymddff12sV6+eqFQqRTc3N7Fdu3aGpIAosu0tzb2JAbZ/zdSvXz/Ry8tLVCqVYu3atcV+/fqJFy5cMOxnu9dsGzduFBs1aiRaW1uLQUFB4jfffGO0n9d8NduWLVtEAPdt0+p+7guiKIqSdFUgIiIiIiIiIslxjgEiIiIiIiIiC8bEABEREREREZEFY2KAiIiIiIiIyIIxMUBERERERERkwZgYICIiIiIiIrJgTAwQERERERERWTAmBoiIiIiIiIgsGBMDRERE9FCDBg1C9+7dJat/wIAB+PTTTx96jK+vL/773/9WSTwajQa+vr44evRoldRHRERU2RRSB0BERETSEQThofunTp2K2bNnQxTFKorI2B9//IHffvsNCxYskKT++1EqlZgwYQImTZqEHTt2SB0OERHRU2NigIiIyIKlpKQYfl69ejWmTJmCpKQkwzZ7e3vY29tLERoAYM6cOejTp4+kMdxP//79MX78eJw5cwbPPvus1OEQERE9FQ4lICIismCenp6Gl6OjIwRBMNpmb29fbijBCy+8gNGjR2PcuHFwdnaGh4cHFi9ejLy8PAwePBgODg5o0KABNm/ebFTX6dOn0alTJ9jb28PDwwMDBgzArVu3HhibTqfD2rVr0bVrV6PtaWlp6Nq1K1QqFfz8/LBixYpy7501axZCQkJgZ2eHunXrYsSIEcjNzQUA5OXlQa1WY+3atUbv+fnnn2FnZ4ecnBxoNBqMGjUKXl5esLGxQb169RATE2M41tnZGS1btsSqVasq/FkTERGZKyYGiIiI6LEtWbIEtWrVwuHDhzF69GgMHz4cffr0wb/+9S8cO3YMUVFRGDBgAPLz8wEAmZmZaNu2LcLCwnD06FEkJCTg5s2b6Nu37wPrOHnyJLKystCkSROj7YMGDcK1a9ewa9curF27FvPnz0daWprRMTKZDLGxsThz5gyWLFmCnTt3YuLEiQAAOzs7vPTSS4iLizN6T1xcHHr37g0HBwfExsbil19+wY8//oikpCSsWLECvr6+Rsc3a9YMe/fufdKPkIiIyGxwKAERERE9ttDQUEyePBkA8P7772PmzJmoVasWhg0bBgCYMmUKFixYgJMnT6JFixaYO3cuwsLCjCYR/P7771G3bl38+eefCAgIKFfHlStXIJfL4e7ubtj2559/YvPmzTh8+DCaNm0KAPjuu+8QHBxs9N5x48YZfvb19cX06dPx1ltvYf78+QCAoUOH4l//+hdSUlLg5eWFtLQ0/Pbbb9i+fTsA4OrVq2jYsCFatWoFQRBQr169cvF5e3vjypUrT/LxERERmRX2GCAiIqLH1rhxY8PPcrkcrq6uCAkJMWzz8PAAAMOT/D/++AO7du0yzFlgb2+PoKAgAMDFixfvW0dBQQGsra2NJkg8d+4cFAoFIiIiDNuCgoLg5ORk9N7t27ejXbt2qF27NhwcHDBgwADcvn3b0IOhWbNmePbZZ7FkyRIAwPLly1GvXj20bt0aQEmvhBMnTiAwMBBjxozB1q1by8WnUqkM5REREVVnTAwQERHRY7OysjL6XRAEo21lN/N6vR4AkJubi65du+LEiRNGr7/++stwM36vWrVqIT8/HxqN5rFiu3z5Mrp06YLGjRvjp59+QmJiIubNmwcARmUNHToU8fHxAEqGEQwePNgQd3h4OJKTk/HJJ5+goKAAffv2Re/evY3qycjIgJub22PFRkREZI6YGCAiIqJKFx4ejjNnzsDX1xcNGjQwetnZ2d33Pc899xwA4OzZs4ZtQUFB0Gq1SExMNGxLSkpCZmam4ffExETo9Xp89dVXaNGiBQICAnDjxo1y5b/66qu4cuUKYmNjcfbsWQwcONBov1qtRr9+/bB48WKsXr0aP/30EzIyMgz7T58+jbCwsCf5OIiIiMwKEwNERERU6UaOHImMjAy8/PLLOHLkCC5evIgtW7Zg8ODB0Ol0932Pm5sbwsPDsW/fPsO2wMBAdOzYEW+++SYOHTqExMREDB06FCqVynBMgwYNUFxcjDlz5uDSpUtYtmwZFi5cWK58Z2dn9OzZE++++y6ioqJQp04dw75Zs2bhhx9+wPnz5/Hnn39izZo18PT0NBqysHfvXkRFRZng0yEiIpIWEwNERERU6by9vbF//37odDpERUUhJCQE48aNg5OTE2SyB1+ODB06tNxyhHFxcfD29sa///1v9OzZE2+88YbRBIWhoaGYNWsWPvvsMzRq1AgrVqwwWmrwbkOGDIFGo8Hrr79utN3BwQGff/45mjRpgqZNm+Ly5cv47bffDLEeOHAAWVlZ5YYXEBERVUeCKIqi1EEQERER3U9BQQECAwOxevVqREZGmrz8ZcuW4e2338aNGzegVCor/L5+/fohNDQUH3zwgcljIiIiqmpcrpCIiIjMlkqlwtKlS3Hr1i2Tlpufn4+UlBTMnDkTb7755mMlBTQaDUJCQvD222+bNCYiIiKpsMcAERERWZyPPvoIM2bMQOvWrbFhwwbY29tLHRIREZFkmBggIiIiIiIismCcfJCIiIiIiIjIgjExQERERERERGTBmBggIiIiIiIismBMDBARERERERFZMCYGiIiIiIiIiCwYEwNEREREREREFoyJASIiIiIiIiILxsQAERERERERkQVjYoCIiIiIiIjIgv0/9KUGomNWW5gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,5))\n",
    "ax = plt.subplot(111)\n",
    "plt.plot(times,x[0],label=labels[1])\n",
    "plt.plot(times,x[1],label=labels[2])\n",
    "plt.plot(times,x[2],label=labels[3])\n",
    "plt.plot(times,x[3],label=labels[4])\n",
    "ax.set_xlim(0,0.2*365.25)\n",
    "ax.set_xlabel(\"Time (days)\")\n",
    "ax.set_ylabel(\"x locations (AU)\")\n",
    "ax.tick_params()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Resonances are identified by looking at the resonant arguments, which are defined as: \n",
    "   $$ \\theta = (p + q)\\lambda_{\\rm out} - p \\lambda_{\\rm in} - q \\omega_{\\rm out/in}$$\n",
    " where $\\lambda_{\\rm out}$ and $\\lambda_{\\rm in}$ are the mean longitudes of the outer and inner bodies, respectively,\n",
    " and $\\omega_{\\rm out}$ is the longitude of pericenter of the outer/inner body.\n",
    " The ratio of periods is defined as : $$P_{\\rm in}/P_{\\rm out} ~= p / (p + q)$$\n",
    "\n",
    " If the resonant argument, $\\theta$, oscillates but is constrained within some range of angles, then \n",
    " there is a resonance between the inner and outer bodies. We call this libration of the angle $\\theta$. \n",
    " The trick is to find what the values of q and p are.  For our case, we can easily see that \n",
    " there are two 2:1 resonances between the moons, so their resonant arguments would follow \n",
    " the function:\n",
    "    $$\\theta = 2 \\lambda_{\\rm out} - \\lambda_{\\rm in} - \\omega_{\\rm out}$$\n",
    "\n",
    " To make the plotting easier, we can borrow this helper function that puts angles into 0 to 360 degrees \n",
    " from another example (Fourier analysis & resonances), and define a new one that puts angles\n",
    " into -180 to 180 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10f766b80>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def zeroTo360(val):\n",
    "    while val < 0:\n",
    "        val += 2*np.pi\n",
    "    while val > 2*np.pi:\n",
    "        val -= 2*np.pi\n",
    "    return (val*180/np.pi)\n",
    "\n",
    "def min180To180(val):\n",
    "    while val < -np.pi:\n",
    "        val += 2*np.pi\n",
    "    while val > np.pi:\n",
    "        val -= 2*np.pi\n",
    "    return (val*180/np.pi)\n",
    "\n",
    "# We can calculate theta, the resonant argument of the 1:2 Io-Europa orbital resonance,\n",
    "# which oscillates about 0 degrees:\n",
    "theta = [min180To180(2.*longitude[1][i] - longitude[0][i] - varpi[0][i]) for i in range(Nout)]\n",
    "\n",
    "# There is also a secular resonance argument, corresponding to the difference in the longitude of perihelions:\n",
    "# This angle oscillates around 180 degs, with a longer period component.\n",
    "theta_sec = [zeroTo360(-varpi[1][i] + varpi[0][i]) for i in range(Nout)]\n",
    "\n",
    "fig = plt.figure(figsize=(12,5))\n",
    "ax = plt.subplot(111)\n",
    "ax.plot(times,theta)  \n",
    "ax.plot(times,theta_sec) # secular resonance argument\n",
    "ax.set_xlim([0,20.*365.25])\n",
    "ax.set_ylim([-180,360.])\n",
    "ax.set_xlabel(\"time (days)\")\n",
    "ax.set_ylabel(r\"resonant argument $\\theta_{2:1}$\")\n",
    "ax.plot([0,100],[180,180],'k--')\n",
    "ax.plot([0,100],[0,0],'k--')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Io, Europa and Ganymede are in a Laplace 1:2:4 resonance,\n",
    "which additionally has a longer period libration argument that depends on all three of \n",
    "their mean longitudes, that appears slightly in the other resonant arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10f81a370>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "thetaL = [zeroTo360(-longitude[0][i] + 3.*longitude[1][i] - 2.*longitude[2][i]) for i in range(Nout)]\n",
    "\n",
    "fig = plt.figure(figsize=(12,5))\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "ax.plot(times,thetaL)\n",
    "ax.set_ylim([0,360.])\n",
    "ax.set_xlabel(\"time (days)\")\n",
    "ax.set_ylabel(r\"libration argument $\\theta_{2:1}$\")\n",
    "ax.plot([0,200],[180,180],'k--')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For completeness, let's take a brief look at the Fourier transforms of the x-positions\n",
    "of Io, and see if it has oscillations related to the MMR.\n",
    "We are going to use the scipy Lomb-Scargle periodogram function, \n",
    "which is good for non-uniform time series analysis.  Therefore, \n",
    "if we used the IAS15 integrator, which has adaptive timesteps, \n",
    "this function would still work."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import signal\n",
    "Npts = 3000\n",
    "\n",
    "# look for periodicities with periods logarithmically spaced between 0.01 yrs and 100 yrs\n",
    "logPmin = np.log10(0.001*365.25)\n",
    "logPmax = np.log10(10.*365.25)\n",
    "\n",
    "# set up a logspaced array from 0.01 to 100 yrs\n",
    "Ps = np.logspace(logPmin,logPmax,Npts)\n",
    "# calculate an array of corresponding angular frequencies\n",
    "ws = np.asarray([2*np.pi/P for P in Ps])\n",
    "\n",
    "# calculate the periogram (for Io) (using ws as the values for which to compute it)\n",
    "periodogram = signal.lombscargle(times,x[0],ws)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x12cfd1df0>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,5))\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "# Since the computed periodogram is unnormalized, taking the value A**2*N/4, \n",
    "# we renormalize the results by applying these functions inversely to the output:\n",
    "ax.set_xscale('log')\n",
    "ax.set_xlim([10**logPmin,10**logPmax])\n",
    "ax.set_xlabel(\"Period (days)\")\n",
    "ax.set_ylabel(\"Power\")\n",
    "ax.plot(Ps,np.sqrt(4*periodogram/Nout))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first spike at about 2 days is caused by the motion of Io around Jupiter\n",
    "in its orbit.\n",
    "\n",
    "The other spikes, corresponding to oscillations with periods of around 1 year, \n",
    "are caused by the MMR of the moons.  The largest spike at ~1.3 years is the from \n",
    "the 1:2 resonance of the two inner moons, Io and Europa."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
